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Theorems · Theorem · general topology

PartialEquiv.leftInvOn

∀ {α : Type u_1} {β : Type u_2} (e : PartialEquiv α β), Set.LeftInvOn (↑e.symm) (↑e) e.source
Defined in
Mathlib.Logic.Equiv.PartialEquiv
Cited by
9 results in Mathlib
Foundations
Depth 7 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.image_source_inter_eq' · cited by 9PartialEquiv.image_source…PartialEquiv.injOn · cited by 5PartialEquiv.injOnPartialEquiv.EqOnSource.symm' · cited by 4EqOnSource.symm'OpenPartialHomeomorph.map_extend_symm_nhdsWithin · cited by 4OpenPartialHomeomorph.map…PartialEquiv.image_source_inter_eq · cited by 3PartialEquiv.image_source…OpenPartialHomeomorph.map_extend_nhdsWithin_eq_image · cited by 3OpenPartialHomeomorph.map…PartialEquiv.symm_image_image_of_subset_source · cited by 2PartialEquiv.symm_image_i…PartialEquiv.invOn · cited by 2PartialEquiv.invOnModelWithCorners.isInvertible_fderivWithin_extendCoordChange · cited by 1ModelWithCorners.isInvert…PartialEquiv.source · cited by 964PartialEquiv.sourcePartialEquiv.toFun · cited by 821PartialEquiv.toFunPartialEquiv.symm · cited by 453PartialEquiv.symmPartialEquiv · cited by 335PartialEquivSet.LeftInvOn · cited by 42Set.LeftInvOnPartialEquiv.left_inv · cited by 37PartialEquiv.left_invPartialEquiv.leftInvOnCITED BYCITES

Cites6

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

Cited by9

Results whose statement or proof uses this declaration.