Mathlib Map

Theorems · Definition · general topology

PartialEquiv.IsImage.restr

{α : Type u_1} → {β : Type u_2} → {e : PartialEquiv α β} → {s : Set α} → {t : Set β} → e.IsImage s t → PartialEquiv α β

Restrict a PartialEquiv to a pair of corresponding sets.

Defined in
Mathlib.Logic.Equiv.PartialEquiv
Cited by
7 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Quot.sound
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Around this declaration

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

PartialEquiv.restr · cited by 38PartialEquiv.restrPartialEquiv.IsImage.image_eq · cited by 5IsImage.image_eqOpenPartialHomeomorph.IsImage.restr · cited by 4IsImage.restrPartialEquiv.IsImage.restr_apply · cited by 0IsImage.restr_applyPartialEquiv.IsImage.restr_source · cited by 0IsImage.restr_sourcePartialEquiv.IsImage.restr_symm_apply · cited by 0IsImage.restr_symm_applyPartialEquiv.IsImage.restr_target · cited by 0IsImage.restr_targetOpenPartialHomeomorph.IsImage.restr_toPartialHomeomorph · cited by 0IsImage.restr_toPartialHo…PartialEquiv.IsImage.restr.congr_simp · cited by 0restr.congr_simpSet · cited by 53352SetPartialEquiv.source · cited by 964PartialEquiv.sourcePartialEquiv.toFun · cited by 821PartialEquiv.toFunPartialEquiv.target · cited by 650PartialEquiv.targetPartialEquiv.symm · cited by 453PartialEquiv.symmPartialEquiv · cited by 335PartialEquivPartialEquiv.IsImage · cited by 37PartialEquiv.IsImagePartialEquiv.IsImage.mapsTo · cited by 2IsImage.mapsToPartialEquiv.IsImage.symm_mapsTo · cited by 0IsImage.symm_mapsToIsImage.restrCITED BYCITES

Cites9

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.