Goal:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  ============================
   (let H := CoreTactics.block in
    NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
      (All2_cons r rs) (All2_dep_cons r0 a0) b
    → let H0 := CoreTactics.block in All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
simpl in H

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  ============================
   (let H := CoreTactics.block in
    NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
    → let H0 := CoreTactics.block in All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  ============================
   (let H := CoreTactics.block in
    NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
      (All2_cons r rs) (All2_dep_cons r0 a0) b
    → let H0 := CoreTactics.block in All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
DepElim.simplify_equations_in H

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  ============================
   (let H := CoreTactics.block in
    NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
    → let H0 := CoreTactics.block in All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  ============================
   (let H := CoreTactics.block in
    NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
      (All2_cons r rs) (All2_dep_cons r0 a0) b
    → let H0 := CoreTactics.block in All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
fun e =>
             repeat progress (autounfold with equations in e; simpl in e)

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  ============================
   (let H := CoreTactics.block in
    NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
    → let H0 := CoreTactics.block in All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  ============================
   (let H := CoreTactics.block in
    NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
      (All2_cons r rs) (All2_dep_cons r0 a0) b
    → let H0 := CoreTactics.block in All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
repeat progress (autounfold with equations in e; simpl in e)