Theorems · Theorem · general topology
PartialEquiv.prod_symm
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {δ : Type u_4} (e : PartialEquiv α β) (e' : PartialEquiv γ δ),
(e.prod e').symm = e.symm.prod e'.symm- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.extproof · cited by 2,266
- PartialEquiv.toFunproof · cited by 821
- PartialEquiv.targetproof · cited by 650
- PartialEquiv.symmstatement and proof · cited by 453
- PartialEquivstatement and proof · cited by 335
- PartialEquiv.prodstatement · cited by 29
- PartialEquiv.extproof · cited by 19
Cited by7
Results whose statement or proof uses this declaration.
- PartialEquiv.prod_transproof · cited by 4
- Manifold.IsImmersionAtOfComplement.prodMapproof · cited by 2
- HasMFDerivWithinAt.prodMapproof · cited by 2
- writtenInExtChartAt_prodproof · cited by 2
- PartialEquiv.refl_prod_reflproof · cited by 2
- Manifold.IsSubmersionAtOfComplement.prodMapproof · cited by 2
- TangentBundle.mem_chart_target_iffproof · cited by 0