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Theorems · Definition · order theory

Equiv.partialOrder

{α : Type u} → {β : Type v} → α ≃ β → [PartialOrder β] → PartialOrder α

Transfer PartialOrder across an Equiv.

Defined in
Mathlib.Order.Lattice
Cited by
0 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
PartialOrder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Equiv.semilatticeInf · cited by 0Equiv.semilatticeInfEquiv.semilatticeSup · cited by 0Equiv.semilatticeSupDFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivPreorder · cited by 7952PreorderPartialOrder · cited by 6410PartialOrderEquiv.injective · cited by 464Equiv.injectiveFunction.Injective.partialOrder · cited by 0Injective.partialOrderEquiv.preorder · cited by 0Equiv.preorderEquiv.partialOrderCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.