Theorems · Theorem · general topology
PartialEquiv.pi_apply
∀ {ι : Type u_5} {αi : ι → Type u_6} {βi : ι → Type u_7} (ei : (i : ι) → PartialEquiv (αi i) (βi i)),
↑(PartialEquiv.pi ei) = Pi.map fun i => ↑(ei i)- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialEquiv.toFunstatement and proof · cited by 821
- PartialEquivstatement and proof · cited by 335
- Pi.mapstatement · cited by 60
- PartialEquiv.pistatement and proof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- PartialEquiv.pi_reflproof · cited by 0
- PartialEquiv.pi_transproof · cited by 0