module stringlengths 17 90 | declarations listlengths 0 507 | goal stringlengths 6 333k | premises listlengths 0 67 |
|---|---|---|---|
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"Function.Semiconj.eq_def",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
"AddConstMapClass.semiconj",
"Fu... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : Add G
inst_2 : Add H
inst_3 : AddConstMapClass F G H a b
f : F
β’ Function.Semiconj (βf : (a : G) β H) (fun (x : G) β¦ HAdd.hAdd x a) fun (x : H) β¦ HAdd.hAdd x b | [
"AddConstMapClass.map_add_const",
"Function.Semiconj.eq_unfold"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
"AddConstMapClass.semiconj",
"AddConstMap.noConfusion",
"Add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddMonoid G
inst_2 : AddMonoid H
inst_3 : AddConstMapClass F G H a b
f : F
x : G
n : Nat
β’ Eq ((f : (a : G) β H) (HAdd.hAdd x (HSMul.hSMul n a)))
(HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul n b)) | [
"AddConstMapClass.semiconj",
"Function.Semiconj.iterate_right"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
"AddConstMapClass.semiconj",
"AddConstMapClass.map_add_nat'",
... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddMonoidWithOne G
inst_2 : AddMonoid H
inst_3 : AddConstMapClass F G H 1 b
f : F
x : G
n : Nat
β’ Eq ((f : (a : G) β H) (HAdd.hAdd x (βn : G))) (HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul n b)) | [
"AddConstMapClass.map_add_nsmul"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
"AddConstMapClass.semiconj",
... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddMonoidWithOne G
inst_2 : Add H
inst_3 : AddConstMapClass F G H 1 b
f : F
x : G
β’ Eq ((f : (a : G) β H) (HAdd.hAdd x 1)) (HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) x : H) b) | [
"AddConstMapClass.map_add_const"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
"AddConstMapClass.semiconj",
... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddMonoidWithOne G
inst_2 : AddMonoid H
inst_3 : AddConstMapClass F G H 1 b
f : F
x : G
n : Nat
inst_4 : n.AtLeastTwo
β’ Eq ((f : (a : G) β H) (HAdd.hAdd x (OfNat.ofNat n)))
(HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul (Ξ± := Nat... | [
"AddConstMapClass.map_add_nat'"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
"AddConstMapClass.semiconj",
... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
inst_1 : AddMonoidWithOne G
inst_2 : AddMonoidWithOne H
inst_3 : AddConstMapClass F G H 1 1
f : F
x : G
n : Nat
β’ Eq ((f : (a : G) β H) (HAdd.hAdd x (βn : G))) (HAdd.hAdd (Ξ± := H) (Ξ² := H) ((f : (a : G) β H) x : H) ((βn : H) : H)) | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
"AddConstMapClass.semiconj",
... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
inst_1 : AddMonoidWithOne G
inst_2 : AddMonoidWithOne H
inst_3 : AddConstMapClass F G H 1 1
f : F
x : G
n : Nat
inst_4 : n.AtLeastTwo
β’ Eq ((f : (a : G) β H) (HAdd.hAdd x (OfNat.ofNat n)))
(HAdd.hAdd (Ξ± := H) (Ξ² := H) ((f : (a : G) β H) x : H) (OfNat.ofNat... | [
"AddConstMapClass.map_add_nat"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
"AddConstMapClass.map_const",
... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddZeroClass G
inst_2 : Add H
inst_3 : AddConstMapClass F G H a b
f : F
β’ Eq ((f : (a : G) β H) a) (HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) 0 : H) b) | [
"AddConstMapClass.map_add_const",
"OfNat.ofNat"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
"AddConstMapClass.map_const",
... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddZeroClass G
inst_2 : One G
inst_3 : Add H
inst_4 : AddConstMapClass F G H 1 b
f : F
β’ Eq ((f : (a : G) β H) 1) (HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) 0 : H) b) | [
"AddConstMapClass.map_const"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
"AddConstMapClass.map_nsmul_co... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddMonoid G
inst_2 : AddMonoid H
inst_3 : AddConstMapClass F G H a b
f : F
n : Nat
β’ Eq ((f : (a : G) β H) (HSMul.hSMul n a)) (HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) 0 : H) (HSMul.hSMul n b)) | [
"AddConstMapClass.map_add_nsmul",
"OfNat.ofNat"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddMonoidWithOne G
inst_2 : AddMonoid H
inst_3 : AddConstMapClass F G H 1 b
f : F
n : Nat
β’ Eq ((f : (a : G) β H) (βn : G)) (HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) 0 : H) (HSMul.hSMul n b)) | [
"AddConstMapClass.map_add_nat'",
"OfNat.ofNat"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddMonoidWithOne G
inst_2 : AddMonoid H
inst_3 : AddConstMapClass F G H 1 b
f : F
n : Nat
inst_4 : n.AtLeastTwo
β’ Eq ((f : (a : G) β H) (OfNat.ofNat n))
(HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) 0 : H) (HSMul.hSMul (Ξ± := Nat) (OfNat.ofNat n) b)... | [
"AddConstMapClass.map_nat'"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
inst_1 : AddMonoidWithOne G
inst_2 : AddMonoidWithOne H
inst_3 : AddConstMapClass F G H 1 1
f : F
n : Nat
β’ Eq ((f : (a : G) β H) (βn : G)) (HAdd.hAdd (Ξ± := H) (Ξ² := H) ((f : (a : G) β H) 0 : H) ((βn : H) : H)) | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
inst_1 : AddMonoidWithOne G
inst_2 : AddMonoidWithOne H
inst_3 : AddConstMapClass F G H 1 1
f : F
n : Nat
inst_4 : n.AtLeastTwo
β’ Eq ((f : (a : G) β H) (OfNat.ofNat n)) (HAdd.hAdd (Ξ± := H) (Ξ² := H) ((f : (a : G) β H) 0 : H) (OfNat.ofNat n : H)) | [
"AddConstMapClass.map_nat"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"AddConstMapClass.map_add_const",
... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommMagma G
inst_2 : Add H
inst_3 : AddConstMapClass F G H a b
f : F
x : G
rw : Eq ((f : (a : G) β H) (HAdd.hAdd x a)) (HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) x : H) b)
rwβ rwβ : Eq (HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) x : H) b) (HAdd.... | [
"AddConstMapClass.map_add_const",
"add_comm"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_one_add",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddCommMonoidWithOne G
inst_2 : Add H
inst_3 : AddConstMapClass F G H 1 b
f : F
x : G
β’ Eq ((f : (a : G) β H) (HAdd.hAdd 1 x)) (HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) x : H) b) | [
"AddConstMapClass.map_const_add"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_one_add",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapClass.rec",
"AddConstMap.recOn",
"... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommMonoid G
inst_2 : AddMonoid H
inst_3 : AddConstMapClass F G H a b
f : F
n : Nat
x : G
rw :
Eq ((f : (a : G) β H) (HAdd.hAdd x (HSMul.hSMul n a)))
(HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul n b))
rwβ rwβ :
Eq ... | [
"AddConstMapClass.map_add_nsmul",
"add_comm"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddConstMapClass.recOn",
"AddConstMapCla... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddCommMonoidWithOne G
inst_2 : AddMonoid H
inst_3 : AddConstMapClass F G H 1 b
f : F
n : Nat
x : G
β’ Eq ((f : (a : G) β H) (HAdd.hAdd (βn : G) x)) (HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul n b)) | [
"AddConstMapClass.map_nsmul_add"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddConstMapClass.map_add_one",
"AddCo... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddCommMonoidWithOne G
inst_2 : AddMonoid H
inst_3 : AddConstMapClass F G H 1 b
f : F
n : Nat
inst_4 : n.AtLeastTwo
x : G
β’ Eq ((f : (a : G) β H) (HAdd.hAdd (OfNat.ofNat n) x))
(HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul (Ξ± :=... | [
"AddConstMapClass.map_nat_add'"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddCo... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
inst_1 : AddCommMonoidWithOne G
inst_2 : AddMonoidWithOne H
inst_3 : AddConstMapClass F G H 1 1
f : F
n : Nat
x : G
β’ Eq ((f : (a : G) β H) (HAdd.hAdd (βn : G) x)) (HAdd.hAdd (Ξ± := H) (Ξ² := H) ((f : (a : G) β H) x : H) ((βn : H) : H)) | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMap.mk.inj",
"AddConstMap.map_add_const'",
"AddCo... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
inst_1 : AddCommMonoidWithOne G
inst_2 : AddMonoidWithOne H
inst_3 : AddConstMapClass F G H 1 1
f : F
n : Nat
inst_4 : n.AtLeastTwo
x : G
β’ Eq ((f : (a : G) β H) (HAdd.hAdd (OfNat.ofNat n) x))
(HAdd.hAdd (Ξ± := H) (Ξ² := H) ((f : (a : G) β H) x : H) (OfNat.o... | [
"AddConstMapClass.map_nat_add"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_nsmul",
"AddConstMap.mk.inj",
"A... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddGroup G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H a b
f : F
x : G
n : Nat
rw : ((f : (a : G) β H) (HSub.hSub x (HSMul.hSMul n a)) : H)
| HSub.hSub (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul n b) | [
"AddConstMapClass.map_add_nsmul",
"HSMul.hSMul",
"add_sub_cancel_right",
"sub_add_cancel"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_nsmul",
"AddConstMap.mk.inj",
"A... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddGroup G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H a b
f : F
x : G
n : Nat
rw : ((f : (a : G) β H) (HSub.hSub x (HSMul.hSMul n a)) : H)
| HSub.hSub (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul n b) | [
"AddConstMapClass.map_add_nsmul",
"HSMul.hSMul",
"add_sub_cancel_right",
"sub_add_cancel"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_nsmul",
"AddConstMap.mk.inj",
"A... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddGroup G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H a b
f : F
x : G
n : Nat
rw : ((f : (a : G) β H) (HSub.hSub x (HSMul.hSMul n a)) : H)
| HSub.hSub (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul n b) | [
"AddConstMapClass.map_add_nsmul",
"HSMul.hSMul",
"add_sub_cancel_right",
"sub_add_cancel"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_nsmul",
"AddConstMap.mk.inj",
"A... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddGroup G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H a b
f : F
x : G
n : Nat
conv_rhs :
Eq ((f : (a : G) β H) (HSub.hSub x (HSMul.hSMul n a)))
(HSub.hSub (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul n b))
conv_rhsβ :
E... | [
"AddConstMapClass.map_add_nsmul",
"HSMul.hSMul",
"add_sub_cancel_right",
"sub_add_cancel"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_nsmul",
"AddConstMap.mk.inj",
"A... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddGroup G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H a b
f : F
x : G
β’ Eq ((f : (a : G) β H) (HSub.hSub x a)) (HSub.hSub (Ξ± := H) ((f : (a : G) β H) x : H) b) | [
"AddConstMapClass.map_sub_nsmul",
"OfNat.ofNat"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_nsmul",
"AddConstMap.mk.inj",
"A... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddGroup G
inst_2 : One G
inst_3 : AddGroup H
inst_4 : AddConstMapClass F G H 1 b
f : F
x : G
β’ Eq ((f : (a : G) β H) (HSub.hSub x 1)) (HSub.hSub (Ξ± := H) ((f : (a : G) β H) x : H) b) | [
"AddConstMapClass.map_sub_const"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_nsmul",
"AddConstMap.mk.inj",
"A... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddGroupWithOne G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H 1 b
f : F
x : G
n : Nat
β’ Eq ((f : (a : G) β H) (HSub.hSub x (βn : G))) (HSub.hSub (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul n b)) | [
"AddConstMapClass.map_sub_nsmul"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_nsmul",
"AddConstMap.mk.inj",
"A... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddGroupWithOne G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H 1 b
f : F
x : G
n : Nat
inst_4 : n.AtLeastTwo
β’ Eq ((f : (a : G) β H) (HSub.hSub x (OfNat.ofNat n)))
(HSub.hSub (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul (Ξ± := Nat) ... | [
"AddConstMapClass.map_sub_nat'"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_nsmul",
"AddConstMap.mk.inj",
"A... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddGroup G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H a b
f : F
x : G
n : Nat
β’ Eq ((f : (a : G) β H) (HAdd.hAdd x (HSMul.hSMul (Ξ± := Int) (βn : Int) a)))
(HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul (Ξ± := Int) (... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_nsmul",
"AddConstMap.mk.inj",
"A... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddGroup G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H a b
f : F
x : G
n : Nat
β’ Eq ((f : (a : G) β H) (HAdd.hAdd x (HSMul.hSMul (Int.negSucc n) a)))
(HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul (Int.negSucc n) b)... | [
"sub_eq_add_neg"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_nsmul",
"AddConstMap.mk.inj",
"A... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddGroup G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H a b
f : F
n : Int
β’ Eq ((f : (a : G) β H) (HSMul.hSMul n a)) (HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) 0 : H) (HSMul.hSMul n b)) | [
"AddConstMapClass.map_add_zsmul",
"OfNat.ofNat"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_nsmul",
"AddConstMap.mk.inj",
"A... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddGroupWithOne G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H 1 b
f : F
x : G
n : Int
rw :
Eq.{u_3 + 1} (Ξ± := H) ((f : (a : G) β H) (HAdd.hAdd x (βn : G)) : H)
((f : (a : G) β H) (HAdd.hAdd x (HSMul.hSMul (Ξ² := G) n 1)) : H)
rwβ rw... | [
"AddConstMapClass.map_add_zsmul",
"zsmul_one"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_ns... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
inst_1 : AddGroupWithOne G
inst_2 : AddGroupWithOne H
inst_3 : AddConstMapClass F G H 1 1
f : F
x : G
n : Int
β’ Eq ((f : (a : G) β H) (HAdd.hAdd x (βn : G))) (HAdd.hAdd (Ξ± := H) (Ξ² := H) ((f : (a : G) β H) x : H) ((βn : H) : H)) | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_ns... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddGroup G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H a b
f : F
x : G
n : Int
β’ Eq ((f : (a : G) β H) (HSub.hSub x (HSMul.hSMul n a)))
(HSub.hSub (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul n b)) | [
"AddConstMapClass.map_add_zsmul",
"sub_eq_add_neg",
"Neg.neg"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_ns... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddGroupWithOne G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H 1 b
f : F
x : G
n : Int
rw :
Eq.{u_3 + 1} (Ξ± := H) ((f : (a : G) β H) (HSub.hSub x (βn : G)) : H)
((f : (a : G) β H) (HSub.hSub x (HSMul.hSMul (Ξ² := G) n 1)) : H)
rwβ rw... | [
"AddConstMapClass.map_sub_zsmul",
"zsmul_one"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_ns... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
inst_1 : AddGroupWithOne G
inst_2 : AddGroupWithOne H
inst_3 : AddConstMapClass F G H 1 1
f : F
x : G
n : Int
β’ Eq ((f : (a : G) β H) (HSub.hSub x (βn : G))) (HSub.hSub (Ξ± := H) (Ξ² := H) ((f : (a : G) β H) x : H) ((βn : H) : H)) | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_ns... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H a b
f : F
n : Int
x : G
rw :
Eq ((f : (a : G) β H) (HAdd.hAdd x (HSMul.hSMul n a)))
(HAdd.hAdd (Ξ± := H) ((f : (a : G) β H) x : H) (HSMul.hSMul n b))
rwβ rwβ :
Eq (H... | [
"AddConstMapClass.map_add_zsmul",
"add_comm"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_ofNat_add'",
"AddConstMapClass.map_sub_ns... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
b : H
inst_1 : AddCommGroupWithOne G
inst_2 : AddGroup H
inst_3 : AddConstMapClass F G H 1 b
f : F
n : Int
x : G
rw :
Eq.{u_3 + 1} (Ξ± := H) ((f : (a : G) β H) (HAdd.hAdd (βn : G) x) : H)
((f : (a : G) β H) (HAdd.hAdd (HSMul.hSMul (Ξ² := G) n 1) x) : H)
rw... | [
"zsmul_one",
"AddConstMapClass.map_zsmul_add"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
inst_1 : AddCommGroupWithOne G
inst_2 : AddGroupWithOne H
inst_3 : AddConstMapClass F G H 1 1
f : F
n : Int
x : G
β’ Eq ((f : (a : G) β H) (HAdd.hAdd (βn : G) x)) (HAdd.hAdd (Ξ± := H) (Ξ² := H) ((f : (a : G) β H) x : H) ((βn : H) : H)) | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
H : Type u_3
b : H
R : Type u_4
inst : Ring R
inst_1 : LinearOrder R
inst_2 : FloorRing R
inst_3 : AddGroup H
inst_4 : FunLike F R H
inst_5 : AddConstMapClass F R H 1 b
f : F
x : R
β’ Eq ((f : (a : R) β H) (Int.fract x)) (HSub.hSub (Ξ± := H) ((f : (a : R) β H) x : H) (HSMul.hSMul (Int.floor x) b)) | [
"Int.fract.eq_unfold",
"AddConstMapClass.map_sub_int'"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
hR : CovariantClass H H (fun (x y : H) β¦ HAdd.hA... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"Set.Ico",
"HAdd.hAdd"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"existsUnique_sub_zsmul_mem_Ico"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"HSMul.hSMul"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
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b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
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G : Type u_2
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b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
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f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
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] |
Mathlib.Algebra.AddConstMap.Basic | [
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G : Type u_2
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inst_1 : AddCommGroup G
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inst_3 : IsOrderedAddMonoid G
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f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
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Membe... | [
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Mathlib.Algebra.AddConstMap.Basic | [
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R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
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Mathlib.Algebra.AddConstMap.Basic | [
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inst_1 : AddCommGroup G
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inst_3 : IsOrderedAddMonoid G
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f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
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Mathlib.Algebra.AddConstMap.Basic | [
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G : Type u_2
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inst : FunLike F G H
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b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
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f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
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Mathlib.Algebra.AddConstMap.Basic | [
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"AddConstMapClass.map_ofNat_add... | F : Type u_1
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inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
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f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
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Membe... | [
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] |
Mathlib.Algebra.AddConstMap.Basic | [
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inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
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f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
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inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
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f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
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"AddConstMapClass.map_ofNat_add... | F : Type u_1
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H : Type u_3
inst : FunLike F G H
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b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
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f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
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Mathlib.Algebra.AddConstMap.Basic | [
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"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
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inst : FunLike F G H
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b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
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f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
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Membe... | [
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"And.right",
"HAdd.hAdd",
"Iff.mp",
"OfNat.ofNat"
] |
Mathlib.Algebra.AddConstMap.Basic | [
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"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
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b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"Set.Ioc_subset_Icc_self"
] |
Mathlib.Algebra.AddConstMap.Basic | [
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"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
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inst : FunLike F G H
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b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"Set.Ico_subset_Icc_self"
] |
Mathlib.Algebra.AddConstMap.Basic | [
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"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
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b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
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"HSMul.hSMul",
"OfNat.ofNat",
"DFunLike.coe"
] |
Mathlib.Algebra.AddConstMap.Basic | [
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"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
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b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
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G : Type u_2
H : Type u_3
inst : FunLike F G H
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b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"AddConstMapClass.map_add_zsmul",
"HSMul.hSMul",
"sub_add_cancel"
] |
Mathlib.Algebra.AddConstMap.Basic | [
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"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"Set.Ioc_subset_Icc_self",
"And.left"
] |
Mathlib.Algebra.AddConstMap.Basic | [
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"AddConstMapClass.map_nat'",
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"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
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b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"Set.Ioc_subset_Icc_self",
"And.left"
] |
Mathlib.Algebra.AddConstMap.Basic | [
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"AddConstMapClass.map_nat'",
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"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
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"AddConstMapClass.map_nat'",
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"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
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b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
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"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
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"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"Int.add_one_le_iff",
"zero_add"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
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"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"Int.add_one_le_iff",
"zero_add"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
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"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"rfl"
] |
Mathlib.Algebra.AddConstMap.Basic | [
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"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
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"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
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"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
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b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"HAdd.hAdd",
"HSMul.hSMul",
"DFunLike.coe"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"Int.rel_of_forall_rel_succ_of_lt"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"Int.rel_of_forall_rel_succ_of_lt"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"add_assoc",
"AddConstMapClass.map_add_zsmul",
"add_zsmul",
"add_comm",
"one_zsmul",
"OfNat.ofNat"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"HSMul.hSMul"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [
"HSMul.hSMul"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddGroup H
inst_6 : AddConstMapClass F G H a b
f : F
R : H β H β Prop
inst_7 : IsTrans H R
ha : LT.lt 0 a
l : G
hf :
β (x : G),
Membe... | [] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddCommGroup H
inst_6 : PartialOrder H
inst_7 : IsOrderedAddMonoid H
inst_8 : AddConstMapClass F G H a b
f : F
ha : LT.lt 0 a
l : G
β’ Iff (... | [
"Iff.mpr",
"LT.lt.le",
"AddConstMapClass.rel_map_of_Icc",
"Set.Icc",
"HAdd.hAdd",
"Iff.intro",
"monotone_iff_forall_lt",
"Monotone.monotoneOn"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_int_add",
"AddConstMapClass.map_ofNat_add... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddCommGroup H
inst_6 : PartialOrder H
inst_7 : IsOrderedAddMonoid H
inst_8 : AddConstMapClass F G H a b
f : F
ha : LT.lt 0 a
l : G
β’ Iff (... | [
"AntitoneOn.eq_unfold",
"Antitone.eq_unfold",
"AddConstMapClass.monotone_iff_Icc"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.strictMono_iff_Icc",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_in... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddCommGroup H
inst_6 : PartialOrder H
inst_7 : IsOrderedAddMonoid H
inst_8 : AddConstMapClass F G H a b
f : F
ha : LT.lt 0 a
l : G
β’ Iff (... | [
"AddConstMapClass.rel_map_of_Icc",
"Set.Icc",
"HAdd.hAdd",
"StrictMono.strictMonoOn",
"Iff.intro"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.strictMono_iff_Icc",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_in... | F : Type u_1
G : Type u_2
H : Type u_3
inst : FunLike F G H
a : G
b : H
inst_1 : AddCommGroup G
inst_2 : LinearOrder G
inst_3 : IsOrderedAddMonoid G
inst_4 : Archimedean G
inst_5 : AddCommGroup H
inst_6 : PartialOrder H
inst_7 : IsOrderedAddMonoid H
inst_8 : AddConstMapClass F G H a b
f : F
ha : LT.lt 0 a
l : G
β’ Iff (... | [
"StrictAntiOn.eq_unfold",
"StrictAnti.eq_unfold",
"AddConstMapClass.strictMono_iff_Icc"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.strictMono_iff_Icc",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_in... | G : Type u_1
H : Type u_2
inst : Add G
inst_1 : Add H
a : G
b : H
f : G β H
hf : β (x : G), Eq (f (HAdd.hAdd x a)) (HAdd.hAdd (f x) b)
β’ Eq (β{ toFun := f, map_add_const' := hf : AddConstMap G H a b } : (a : G) β H) f | [
"rfl"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.strictMono_iff_Icc",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_in... | G : Type u_1
H : Type u_2
inst : Add G
inst_1 : Add H
a : G
b : H
f : AddConstMap G H a b
β’ Eq { toFun := (βf : (a : G) β H), map_add_const' := β― : AddConstMap G H a b } f | [
"rfl"
] |
Mathlib.Algebra.AddConstMap.Basic | [
"AddConstMap.mk.injEq",
"AddConstMapClass.map_nat'",
"AddConstMap.ctorIdx",
"AddConstMap.mk.sizeOf_spec",
"AddConstMapClass.strictMono_iff_Icc",
"AddConstMapClass.map_nat_add",
"AddConstMapClass.map_add_int",
"AddConstMapClass.map_one_add",
"AddConstMapClass.map_nat_add'",
"AddConstMapClass.map_in... | G : Type u_1
H : Type u_2
inst : Add G
inst_1 : Add H
a : G
b : H
f : AddConstMap G H a b
β’ Eq f.toFun (βf : (a : G) β H) | [
"rfl"
] |
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