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Declaration
group_inv_inv
Mathlib.Algebra.Group.Basic
Packages
2
Module
63
Theorems
750
Declarations
1016
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Statement
forall (G : Sort u), forall (one : G), forall (mul : forall (a : G), forall (b : G), G), forall (inv : forall (a : G), G), forall (group_args : @GroupLawArgs.{u} G one mul inv), forall (a : G), @Eq.{u} G (inv (inv a)) aProof term
fun G => fun one => fun mul => fun inv => fun group_args => fun a => @group_left_cancel.{u} G one mul inv group_args (inv a) (inv (inv a)) a (@eq_trans.{u} G (mul (inv a) (inv (inv a))) one (mul (inv a) a) (@group_mul_inv.{u} G one mul inv group_args (inv a)) (@eq_symm.{u} G (mul (inv a) a) one (@group_inv_mul.{u} G one mul inv group_args a)))