Mathlib Map

Theorems · Definition

EquivLike.inv

{E : Sort u_1} → {α : outParam (Sort u_2)} → {β : outParam (Sort u_3)} → [self : EquivLike E α β] → E → β → α

The coercion to a function in the backwards direction.

Defined in
Mathlib.Data.FunLike.Equiv
Cited by
42 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
EquivLike
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

EquivLike.toEquiv · cited by 125EquivLike.toEquivEquivLike.apply_inv_apply · cited by 11EquivLike.apply_inv_applyEquivLike.right_inv · cited by 8EquivLike.right_invEquivLike.left_inv · cited by 6EquivLike.left_invFirstOrder.Language.StrongHomClass.toEquiv · cited by 4StrongHomClass.toEquivEquivLike.inv_apply_apply · cited by 3EquivLike.inv_apply_applySummable.map_iff_of_equiv · cited by 2Summable.map_iff_of_equivGraded.equiv · cited by 2Graded.equivmap_inv_le_map_inv_iff · cited by 2map_inv_le_map_inv_iffFirstOrder.Language.StrongHomClass.realize_boundedFormula · cited by 2StrongHomClass.realize_bo…StarMulEquiv.ofClass · cited by 2StarMulEquiv.ofClassdenselyOrdered_iff_of_orderIsoClass · cited by 2denselyOrdered_iff_of_ord…LocallyFiniteOrder.ofOrderIsoClass · cited by 1LocallyFiniteOrder.ofOrde…EquivLike.coe_injective' · cited by 1EquivLike.coe_injective'AddEquiv.isAddUnit_map · cited by 1AddEquiv.isAddUnit_mapEquivLike · cited by 165EquivLikeEquivLike.invCITED BYCITES

Cites1

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

Cited by51

Results whose statement or proof uses this declaration.