Mathlib Map

Theorems · Theorem · general topology

PartialEquiv.injOn

∀ {α : Type u_1} {β : Type u_2} (e : PartialEquiv α β), Set.InjOn (↑e) e.source
Defined in
Mathlib.Logic.Equiv.PartialEquiv
Cited by
5 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.injective_of_source_eq_univ · cited by 1PartialEquiv.injective_of…Real.tanh_injective · cited by 0Real.tanh_injectiveReal.arcosh_injOn · cited by 0Real.arcosh_injOnReal.cosh_injOn · cited by 0Real.cosh_injOnReal.artanh_injOn · cited by 0Real.artanh_injOnPartialEquiv.source · cited by 964PartialEquiv.sourcePartialEquiv.toFun · cited by 821PartialEquiv.toFunSet.InjOn · cited by 543Set.InjOnPartialEquiv · cited by 335PartialEquivSet.LeftInvOn.injOn · cited by 15LeftInvOn.injOnPartialEquiv.leftInvOn · cited by 9PartialEquiv.leftInvOnPartialEquiv.injOnCITED BYCITES

Cites6

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

Cited by5

Results whose statement or proof uses this declaration.