Theorems · Theorem · general topology
PartialEquiv.map_source
∀ {α : Type u_1} {β : Type u_2} (e : PartialEquiv α β) {x : α}, x ∈ e.source → ↑e x ∈ e.target- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- PartialEquiv.sourcestatement and proof · cited by 964
- PartialEquiv.toFunstatement · cited by 821
- PartialEquiv.targetstatement · cited by 650
- PartialEquivstatement and proof · cited by 335
- PartialEquiv.map_source'proof · cited by 9
Cited by22
Results whose statement or proof uses this declaration.
- PartialEquiv.mapsToproof · cited by 8
- mem_extChartAt_targetproof · cited by 6
- contMDiffWithinAt_sndproof · cited by 5
- contMDiffWithinAt_fstproof · cited by 4
- contMDiffWithinAt_iff_contMDiffOn_nhdsproof · cited by 3
- mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAtproof · cited by 3
- mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt'proof · cited by 3
- OpenPartialHomeomorph.continuousAt_extend_symmproof · cited by 3
- hasMFDerivAt_fstproof · cited by 3
- IsLocalDiffeomorphAt.localInverse_mem_sourceproof · cited by 3
- hasMFDerivAt_sndproof · cited by 3
- ContMDiffWithinAt.mfderivWithinproof · cited by 3