Theorems · Definition · general topology
Equiv.transPartialEquiv
{α : Type u_1} → {β : Type u_2} → {γ : Type u_3} → α ≃ β → PartialEquiv β γ → PartialEquiv α γPrecompose a partial equivalence with an equivalence. We modify the source and target to have better definitional behavior.
- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, 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.
- DFunLike.coeproof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Set.preimageproof · cited by 4,946
- 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
- PartialEquiv.transproof · cited by 88
- Equiv.toPartialEquivproof · cited by 17
- PartialEquiv.copyproof · cited by 5
Cited by10
Results whose statement or proof uses this declaration.
- Homeomorph.transOpenPartialHomeomorphproof · cited by 7
- Equiv.transPartialEquiv_eq_transstatement · cited by 3
- Equiv.trans_transPartialEquivstatement and proof · cited by 0
- Equiv.coe_transPartialEquivstatement · cited by 0
- Equiv.coe_transPartialEquiv_symmstatement · cited by 0
- Equiv.transPartialEquiv_applystatement and proof · cited by 0
- Equiv.transPartialEquiv_sourcestatement and proof · cited by 0
- Equiv.transPartialEquiv_symm_applystatement and proof · cited by 0
- Equiv.transPartialEquiv_targetstatement and proof · cited by 0
- Equiv.transPartialEquiv_transstatement · cited by 0