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Theorems · Theorem · general topology

PartialEquiv.invOn

∀ {α : Type u_1} {β : Type u_2} (e : PartialEquiv α β), Set.InvOn (↑e.symm) (↑e) e.source e.target
Defined in
Mathlib.Logic.Equiv.PartialEquiv
Cited by
2 results in Mathlib
Foundations
Depth 8 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.bijOn · cited by 6PartialEquiv.bijOnCircle.invOn_arg_exp · cited by 0Circle.invOn_arg_expPartialEquiv.source · cited by 964PartialEquiv.sourcePartialEquiv.toFun · cited by 821PartialEquiv.toFunPartialEquiv.target · cited by 650PartialEquiv.targetPartialEquiv.symm · cited by 453PartialEquiv.symmPartialEquiv · cited by 335PartialEquivSet.InvOn · cited by 26Set.InvOnPartialEquiv.leftInvOn · cited by 9PartialEquiv.leftInvOnPartialEquiv.rightInvOn · cited by 3PartialEquiv.rightInvOnPartialEquiv.invOnCITED BYCITES

Cites8

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

Cited by2

Results whose statement or proof uses this declaration.