Theorems · Theorem · general topology
PartialEquiv.image_source_inter_eq
∀ {α : Type u_1} {β : Type u_2} (e : PartialEquiv α β) (s : Set α),
↑e '' (e.source ∩ s) = e.target ∩ ↑e.symm ⁻¹' (e.source ∩ s)- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Set.imagestatement and proof · cited by 5,609
- Set.preimagestatement and proof · cited by 4,946
- PartialEquiv.sourcestatement and proof · cited by 964
- PartialEquiv.toFunstatement and proof · cited by 821
- PartialEquiv.targetstatement and proof · cited by 650
- PartialEquiv.symmstatement and proof · cited by 453
- PartialEquivstatement and proof · cited by 335
- Set.inter_commproof · cited by 291
- PartialEquiv.image_source_eq_targetproof · cited by 18
- PartialEquiv.leftInvOnproof · cited by 9
- Set.LeftInvOn.image_interproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.image_source_inter_eqproof · cited by 2
- PartialEquiv.symm_image_target_inter_eqproof · cited by 1
- PartialHomeomorph.image_source_inter_eqproof · cited by 1