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Declaration

eq_congr_fun

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 (f : forall (x : A), B), forall (g : forall (x : A), B), forall (h : @Eq.{imax u v} (forall (x : A), B) f g), forall (x : A), @Eq.{v} B (f x) (g x)

Proof term

fun A => fun B => fun f => fun g => fun h => fun x => @Eq.rec.{imax u v,0} (forall (x : A), B) f (fun (q : forall (x : A), B) => fun (hq : @Eq.{imax u v} (forall (x : A), B) f q) => @Eq.{v} B (f x) (q x)) (@Eq.refl.{v} B (f x)) g h

Constants