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Theorems · Theorem · general topology

PartialEquiv.bijOn

∀ {α : Type u_1} {β : Type u_2} (e : PartialEquiv α β), Set.BijOn (↑e) e.source e.target
Defined in
Mathlib.Logic.Equiv.PartialEquiv
Cited by
6 results in Mathlib
Foundations
Depth 10 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_eq_target · cited by 18PartialEquiv.image_source…PartialEquiv.surjOn · cited by 6PartialEquiv.surjOnReal.tanh_bijOn · cited by 0Real.tanh_bijOnReal.cosh_bijOn · cited by 0Real.cosh_bijOnReal.artanh_bijOn · cited by 0Real.artanh_bijOnReal.arcosh_bijOn · cited by 0Real.arcosh_bijOnPartialEquiv.source · cited by 964PartialEquiv.sourcePartialEquiv.toFun · cited by 821PartialEquiv.toFunPartialEquiv.target · cited by 650PartialEquiv.targetPartialEquiv · cited by 335PartialEquivSet.BijOn · cited by 168Set.BijOnSet.InvOn.bijOn · cited by 9InvOn.bijOnPartialEquiv.mapsTo · cited by 8PartialEquiv.mapsToPartialEquiv.mapsTo_symm · cited by 5PartialEquiv.mapsTo_symmPartialEquiv.invOn · cited by 2PartialEquiv.invOnPartialEquiv.bijOnCITED BYCITES

Cites9

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

Cited by6

Results whose statement or proof uses this declaration.