Theorems · Theorem · general topology
PartialEquiv.image_source_eq_target
∀ {α : Type u_1} {β : Type u_2} (e : PartialEquiv α β), ↑e '' e.source = e.target- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.imagestatement · cited by 5,609
- PartialEquiv.sourcestatement · cited by 964
- PartialEquiv.toFunstatement · cited by 821
- PartialEquiv.targetstatement · cited by 650
- PartialEquivstatement and proof · cited by 335
- Set.BijOn.image_eqproof · cited by 30
- PartialEquiv.bijOnproof · cited by 6
Cited by18
Results whose statement or proof uses this declaration.
- ModelWithCorners.target_eqproof · cited by 42
- PartialEquiv.extproof · cited by 19
- PartialEquiv.image_source_inter_eq'proof · cited by 9
- OpenPartialHomeomorph.image_source_eq_targetproof · cited by 6
- PartialEquiv.IsImage.image_eqproof · cited by 5
- PartialEquiv.symm_image_target_eq_sourceproof · cited by 4
- PartialEquiv.image_source_inter_eqproof · cited by 3
- PartialEquiv.image_trans_sourceproof · cited by 2
- OpenPartialHomeomorph.extend_target_mem_nhdsWithinproof · cited by 2
- Manifold.IsImmersionAtOfComplement.map_target_subset_targetproof · cited by 2
- Manifold.IsSubmersionAtOfComplement.image_target_subset_targetproof · cited by 2
- MeasureTheory.integral_target_eq_integral_abs_det_fderiv_smulproof · cited by 1