Theorems · Theorem · general topology
PartialEquiv.image_trans_source
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} (e : PartialEquiv α β) (e' : PartialEquiv β γ),
↑e '' (e.trans e').source = e.target ∩ e'.source- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 and proof · cited by 964
- PartialEquiv.toFunstatement · cited by 821
- PartialEquiv.targetstatement · cited by 650
- PartialEquiv.symmproof · cited by 453
- PartialEquivstatement and proof · cited by 335
- PartialEquiv.transstatement · cited by 88
- PartialEquiv.restrproof · cited by 38
- PartialEquiv.image_source_eq_targetproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.image_trans_sourceproof · cited by 1
- PartialEquiv.inv_image_trans_targetproof · cited by 0