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Declaration
eq_congr2
Mathlib.Logic.EqReasoning
Packages
2
Module
63
Theorems
750
Declarations
1016
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Statement
forall (A : Sort u), forall (B : Sort v), forall (C : Sort w), forall (f : forall (a : A), forall (b : B), C), forall (a : A), forall (a2 : A), forall (b : B), forall (b2 : B), forall (ha : @Eq.{u} A a a2), forall (hb : @Eq.{v} B b b2), @Eq.{w} C (f a b) (f a2 b2)Proof term
fun A => fun B => fun C => fun f => fun a => fun a2 => fun b => fun b2 => fun ha => fun hb => @Eq.rec.{u,0} A a (fun (a3 : A) => fun (ha3 : @Eq.{u} A a a3) => forall (b3 : B), forall (hb3 : @Eq.{v} B b b3), @Eq.{w} C (f a b) (f a3 b3)) (fun (b3 : B) => fun (hb3 : @Eq.{v} B b b3) => @Eq.rec.{v,0} B b (fun (b4 : B) => fun (hb4 : @Eq.{v} B b b4) => @Eq.{w} C (f a b) (f a b4)) (@Eq.refl.{w} C (f a b)) b3 hb3) a2 ha b2 hb