Theorems · Theorem · general topology
PartialEquiv.prod_trans
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {δ : Type u_4} {η : Type u_5} {ε : Type u_6} (e : PartialEquiv α β)
(f : PartialEquiv β γ) (e' : PartialEquiv δ η) (f' : PartialEquiv η ε),
(e.prod e').trans (f.prod f') = (e.trans f).prod (e'.trans f')- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 4 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.preimageproof · cited by 4,946
- Set.extproof · cited by 2,266
- SProd.sprodproof · cited by 1,750
- PartialEquiv.sourceproof · cited by 964
- PartialEquiv.toFunproof · cited by 821
- PartialEquiv.symmproof · cited by 453
- PartialEquivstatement and proof · cited by 335
- PartialEquiv.transstatement and proof · cited by 88
- PartialEquiv.prodstatement · cited by 29
- PartialEquiv.extproof · cited by 19
- PartialEquiv.prod_symmproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- FiberBundle.extChartAtproof · cited by 3
- extChartAt_prodproof · cited by 3
- OpenPartialHomeomorph.extend_prodproof · cited by 2
- OpenPartialHomeomorph.prod_transproof · cited by 1