Theorems · Theorem · general topology
PartialEquiv.trans_source
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} (e : PartialEquiv α β) (e' : PartialEquiv β γ),
(e.trans e').source = e.source ∩ ↑e ⁻¹' e'.source- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 5 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.preimagestatement · cited by 4,946
- PartialEquiv.sourcestatement · cited by 964
- PartialEquiv.toFunstatement · cited by 821
- PartialEquivstatement and proof · cited by 335
- PartialEquiv.transstatement · cited by 88
Cited by5
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.extend_sourceproof · cited by 17
- Bundle.Pretrivialization.symm_trans_source_eqproof · cited by 2
- OpenPartialHomeomorph.trans_sourceproof · cited by 2
- PartialEquiv.EqOnSource.trans'proof · cited by 1
- Bundle.Pretrivialization.trans_sourceproof · cited by 0