Mathlib Map

Theorems · Definition · general topology

PartialEquiv.invFun

{α : Type u_5} → {β : Type u_6} → PartialEquiv α β → β → α

The partial inverse to toFun. Its value outside of the target subset is irrelevant.

Defined in
Mathlib.Logic.Equiv.PartialEquiv
Cited by
43 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
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Around this declaration

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

PartialEquiv.symm · cited by 453PartialEquiv.symmOpenPartialHomeomorph.lift_openEmbedding · cited by 14OpenPartialHomeomorph.lif…modelWithCornersSelf_prod · cited by 10modelWithCornersSelf_prodPartialHomeomorph.continuousOn_invFun · cited by 9PartialHomeomorph.continu…PartialEquiv.left_inv' · cited by 6PartialEquiv.left_inv'PartialEquiv.right_inv' · cited by 6PartialEquiv.right_inv'PartialHomeomorph.toPartialEquiv_injective · cited by 5PartialHomeomorph.toParti…IsLocalHomeomorphOn.mk · cited by 5IsLocalHomeomorphOn.mkPartialEquiv.map_target' · cited by 4PartialEquiv.map_target'Bundle.Pretrivialization.codExtend' · cited by 4Pretrivialization.codExte…Bundle.Pretrivialization.domExtend · cited by 4Pretrivialization.domExte…PartialHomeomorph.mk.congr_simp · cited by 4mk.congr_simpBundle.Pretrivialization.restrictPreimage' · cited by 4Pretrivialization.restric…IsCoveringMap.exists_path_lifts · cited by 4IsCoveringMap.exists_path…IsCoveringMapOn.mk · cited by 3IsCoveringMapOn.mkPartialEquiv · cited by 335PartialEquivPartialEquiv.invFunCITED BYCITES

Cites1

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

Cited by65

Results whose statement or proof uses this declaration.