Theorems · Theorem · general topology
OpenPartialHomeomorph.restr_apply
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
(e : OpenPartialHomeomorph X Y) (s : Set X), ↑(e.restr s) = ↑e- Cited by
- 6 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- OpenPartialHomeomorph.toFun'statement and proof · cited by 745
- OpenPartialHomeomorphstatement and proof · cited by 664
- OpenPartialHomeomorph.restrstatement and proof · cited by 47
Cited by6
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.Set.EqOn.restr_eqOn_sourceproof · cited by 1
- OpenPartialHomeomorph.restr_eqOnSource_restrproof · cited by 1
- closedUnderRestriction_iff_id_leproof · cited by 1
- OpenPartialHomeomorph.ofSet_trans_ofSetproof · cited by 0
- OpenPartialHomeomorph.symm_trans_restrproof · cited by 0
- OpenPartialHomeomorph.restr_symm_transproof · cited by 0