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Theorems · Theorem · general algebraic systems

inv_apply

∀ {F : Type u_1} {α : outParam (Type u_2)} {β : outParam (Type u_3)} {inst : FunLike F α β} {inst_1 : Inv β}
  {inst_2 : Inv F} [self : IsInvApply F α β] (f : F) (x : α), f⁻¹ x = (f x)⁻¹

Alias of IsInvApply.inv_apply.

Defined in
Mathlib.Data.FunLike.IsApply
Cited by
1 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
IsInvApply
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FunLike.coe_inv · cited by 0FunLike.coe_invDFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeIsInvApply · cited by 3IsInvApplyIsInvApply.inv_apply · cited by 1IsInvApply.inv_applyinv_applyCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.