Module: Mathlib.Algebra.Polynomial.Reverse

Goal state before:
pp: case neg
R : Type u_1
inst✝ : Semiring R
cg N O : ℕ
g : R[X]
Cg : #g.support ≤ cg.succ
Og : g.natDegree ≤ O
cf : ℕ
hcf : ∀ (f : R[X]), #f.support ≤ cf.succ → f.natDegree ≤ N → reflect (N + O) (f * g) = reflect N f * reflect O g
f : R[X]
Cf : #f.support ≤ (cf + 1).succ
Nf : f.natDegree ≤ N
f0 : ¬f = 0
⊢ reflect N f.eraseLead * reflect O g + reflect N (C f.leadingCoeff * X ^ f.natDegree) * reflect O g =
    reflect N f.eraseLead * reflect O g + reflect N (C f.leadingCoeff * X ^ f.natDegree) * reflect O g

pp: case neg.Cf
R : Type u_1
inst✝ : Semiring R
cg N O : ℕ
g : R[X]
Cg : #g.support ≤ cg.succ
Og : g.natDegree ≤ O
cf : ℕ
hcf : ∀ (f : R[X]), #f.support ≤ cf.succ → f.natDegree ≤ N → reflect (N + O) (f * g) = reflect N f * reflect O g
f : R[X]
Cf : #f.support ≤ (cf + 1).succ
Nf : f.natDegree ≤ N
f0 : ¬f = 0
⊢ #(C f.leadingCoeff * X ^ f.natDegree).support ≤ cf.succ

pp: case neg.Nf
R : Type u_1
inst✝ : Semiring R
cg N O : ℕ
g : R[X]
Cg : #g.support ≤ cg.succ
Og : g.natDegree ≤ O
cf : ℕ
hcf : ∀ (f : R[X]), #f.support ≤ cf.succ → f.natDegree ≤ N → reflect (N + O) (f * g) = reflect N f * reflect O g
f : R[X]
Cf : #f.support ≤ (cf + 1).succ
Nf : f.natDegree ≤ N
f0 : ¬f = 0
⊢ (C f.leadingCoeff * X ^ f.natDegree).natDegree ≤ N

pp: case neg.Cf
R : Type u_1
inst✝ : Semiring R
cg N O : ℕ
g : R[X]
Cg : #g.support ≤ cg.succ
Og : g.natDegree ≤ O
cf : ℕ
hcf : ∀ (f : R[X]), #f.support ≤ cf.succ → f.natDegree ≤ N → reflect (N + O) (f * g) = reflect N f * reflect O g
f : R[X]
Cf : #f.support ≤ (cf + 1).succ
Nf : f.natDegree ≤ N
f0 : ¬f = 0
⊢ #f.eraseLead.support ≤ cf.succ

pp: case neg.Nf
R : Type u_1
inst✝ : Semiring R
cg N O : ℕ
g : R[X]
Cg : #g.support ≤ cg.succ
Og : g.natDegree ≤ O
cf : ℕ
hcf : ∀ (f : R[X]), #f.support ≤ cf.succ → f.natDegree ≤ N → reflect (N + O) (f * g) = reflect N f * reflect O g
f : R[X]
Cf : #f.support ≤ (cf + 1).succ
Nf : f.natDegree ≤ N
f0 : ¬f = 0
⊢ f.eraseLead.natDegree ≤ N

Tactic:
]

Goal state after:
case neg.Cf
R : Type u_1
inst✝ : Semiring R
cg N O : ℕ
g : R[X]
Cg : #g.support ≤ cg.succ
Og : g.natDegree ≤ O
cf : ℕ
hcf : ∀ (f : R[X]), #f.support ≤ cf.succ → f.natDegree ≤ N → reflect (N + O) (f * g) = reflect N f * reflect O g
f : R[X]
Cf : #f.support ≤ (cf + 1).succ
Nf : f.natDegree ≤ N
f0 : ¬f = 0
⊢ #(C f.leadingCoeff * X ^ f.natDegree).support ≤ cf.succ

case neg.Nf
R : Type u_1
inst✝ : Semiring R
cg N O : ℕ
g : R[X]
Cg : #g.support ≤ cg.succ
Og : g.natDegree ≤ O
cf : ℕ
hcf : ∀ (f : R[X]), #f.support ≤ cf.succ → f.natDegree ≤ N → reflect (N + O) (f * g) = reflect N f * reflect O g
f : R[X]
Cf : #f.support ≤ (cf + 1).succ
Nf : f.natDegree ≤ N
f0 : ¬f = 0
⊢ (C f.leadingCoeff * X ^ f.natDegree).natDegree ≤ N

case neg.Cf
R : Type u_1
inst✝ : Semiring R
cg N O : ℕ
g : R[X]
Cg : #g.support ≤ cg.succ
Og : g.natDegree ≤ O
cf : ℕ
hcf : ∀ (f : R[X]), #f.support ≤ cf.succ → f.natDegree ≤ N → reflect (N + O) (f * g) = reflect N f * reflect O g
f : R[X]
Cf : #f.support ≤ (cf + 1).succ
Nf : f.natDegree ≤ N
f0 : ¬f = 0
⊢ #f.eraseLead.support ≤ cf.succ

case neg.Nf
R : Type u_1
inst✝ : Semiring R
cg N O : ℕ
g : R[X]
Cg : #g.support ≤ cg.succ
Og : g.natDegree ≤ O
cf : ℕ
hcf : ∀ (f : R[X]), #f.support ≤ cf.succ → f.natDegree ≤ N → reflect (N + O) (f * g) = reflect N f * reflect O g
f : R[X]
Cf : #f.support ≤ (cf + 1).succ
Nf : f.natDegree ≤ N
f0 : ¬f = 0
⊢ f.eraseLead.natDegree ≤ N