Theorems · Theorem · general topology
OpenPartialHomeomorph.refl_apply
∀ (X : Type u_7) [inst : TopologicalSpace X], ↑(OpenPartialHomeomorph.refl X) = id
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- OpenPartialHomeomorph.toFun'statement and proof · cited by 745
- OpenPartialHomeomorph.reflstatement and proof · cited by 33
Cited by9
Results whose statement or proof uses this declaration.
- contMDiffWithinAt_iff_contDiffWithinAtproof · cited by 4
- contMDiffWithinAt_iff_sourceproof · cited by 3
- contMDiffWithinAt_iff_targetproof · cited by 2
- StructureGroupoid.LocalInvariantProp.liftPropAt_symm_of_mem_maximalAtlasproof · cited by 2
- contMDiffWithinAt_iff_of_mem_maximalAtlas'proof · cited by 1
- mdifferentiableWithinAt_iff_targetproof · cited by 1
- closedUnderRestriction_iff_id_leproof · cited by 1
- OpenPartialHomeomorph.ofSet_univ_eq_reflproof · cited by 0
- hom_chartproof · cited by 0