Theorems · Theorem · general topology
PartialEquiv.pi_trans
∀ {ι : Type u_5} {αi : ι → Type u_6} {βi : ι → Type u_7} {γi : ι → Type u_8} (ei : (i : ι) → PartialEquiv (αi i) (βi i))
(ei' : (i : ι) → PartialEquiv (βi i) (γi i)),
(PartialEquiv.pi ei).trans (PartialEquiv.pi ei') = PartialEquiv.pi fun i => (ei i).trans (ei' i)- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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Cites14
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.univproof · cited by 3,945
- Set.extproof · cited by 2,266
- PartialEquiv.sourceproof · cited by 964
- PartialEquiv.toFunproof · cited by 821
- PartialEquiv.symmproof · cited by 453
- Set.piproof · cited by 405
- PartialEquivstatement and proof · cited by 335
- PartialEquiv.transstatement and proof · cited by 88
- Pi.mapproof · cited by 60
- PartialEquiv.extproof · cited by 19
- PartialEquiv.pistatement · cited by 8
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