Theorems · Definition · general topology
PartialEquiv.prod
{α : Type u_1} →
{β : Type u_2} → {γ : Type u_3} → {δ : Type u_4} → PartialEquiv α β → PartialEquiv γ δ → PartialEquiv (α × γ) (β × δ)The product of two partial equivalences, as a partial equivalence on the product.
- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
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.
- SProd.sprodproof · cited by 1,750
- PartialEquiv.sourceproof · cited by 964
- PartialEquiv.toFunproof · cited by 821
- PartialEquiv.targetproof · cited by 650
- PartialEquiv.symmproof · cited by 453
- PartialEquivstatement and proof · cited by 335
Cited by31
Results whose statement or proof uses this declaration.
- ModelWithCorners.prodproof · cited by 414
- OpenPartialHomeomorph.prodproof · cited by 24
- OpenPartialHomeomorph.prod_toPartialHomeomorphstatement · cited by 13
- PartialEquiv.prod_symmstatement · cited by 7
- tangentBundle_model_space_chartAtproof · cited by 4
- PartialEquiv.prod_transstatement · cited by 4
- extChartAt_prodstatement and proof · cited by 3
- ContMDiffWithinAt.mfderivWithinproof · cited by 3
- FiberBundle.extChartAtstatement and proof · cited by 3
- Manifold.IsImmersionAtOfComplement.prodMapproof · cited by 2
- writtenInExtChartAt_prodproof · cited by 2
- HasMFDerivWithinAt.prodMapproof · cited by 2