Theorems · Definition · order theory
RelIso.copy
{α : Type u_1} →
{β : Type u_2} →
{r : α → α → Prop} → {s : β → β → Prop} → (e : r ≃r s) → (f : α → β) → (g : β → α) → f = ⇑e → g = ⇑e.symm → r ≃r sCopy of a RelIso with a new toFun and invFun equal to the old ones.
Useful to fix definitional equalities.
- Defined in
- Mathlib.Order.RelIso.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RelIsostatement and proof · cited by 456
- RelIso.symmstatement and proof · cited by 193
Cited by3
Results whose statement or proof uses this declaration.
- ENNReal.powOrderIsoproof · cited by 2
- RelIso.copy_eqstatement and proof · cited by 0
- RelIso.coe_copystatement · cited by 0