Theorems · Definition · order theory
OrderIso.withTopCongr
{α : Type u_1} → {β : Type u_2} → [inst : PartialOrder α] → [inst_1 : PartialOrder β] → α ≃o β → WithTop α ≃o WithTop βA version of Equiv.optionCongr for WithTop.
- Defined in
- Mathlib.Order.Hom.WithTopBot
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- PartialOrderPartialOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equivproof · cited by 8,337
- PartialOrderstatement and proof · cited by 6,410
- WithTopstatement and proof · cited by 3,754
- OrderIsostatement and proof · cited by 874
- OrderEmbeddingproof · cited by 619
- Equiv.invFunproof · cited by 163
- RelIso.toEquivproof · cited by 113
- WithTop.mapproof · cited by 68
- OrderIso.toOrderEmbeddingproof · cited by 22
- Equiv.withTopCongrproof · cited by 5
- OrderEmbedding.withTopMapproof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- HahnSeries.archimedeanClassOrderIsoWithTopproof · cited by 3
- ENNReal.powOrderIsoproof · cited by 2
- OrderIso.withTopCongr_applystatement · cited by 0
- OrderIso.withTopCongr_reflstatement and proof · cited by 0
- OrderIso.withTopCongr_symmstatement and proof · cited by 0
- OrderIso.withTopCongr_transstatement and proof · cited by 0
- hahnEmbedding_isOrderedAddMonoidproof · cited by 0
- HahnSeries.archimedeanClassOrderIsoWithTop_applyproof · cited by 0