Mathlib Map

Theorems · Definition · order theory

OrderIso.refl

(α : Type u_6) → [inst : LE α] → α ≃o α

Identity order isomorphism.

Defined in
Mathlib.Order.Hom.Basic
Cited by
24 results in Mathlib
Foundations
Depth 16 from the axioms · uses Quot.sound
Assumes
LE
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

OrderIso.dualDual · cited by 8OrderIso.dualDualOrderIso.sumLexIicIoi · cited by 6OrderIso.sumLexIicIoiOrderIso.sumLexIioIci · cited by 6OrderIso.sumLexIioIciWithBot.toDualTopEquiv · cited by 6WithBot.toDualTopEquivWithTop.toDualBotEquiv · cited by 5WithTop.toDualBotEquivLinearOrderedCommGroup.wellFoundedOn_setOfPred_le_lt_iff_nonempty_discrete · cited by 3LinearOrderedCommGroup.we…DedekindCut.principalIso · cited by 2DedekindCut.principalIsoOrder.coheight_eq_krullDim_Ici · cited by 1Order.coheight_eq_krullDi…Order.IsNormal.id · cited by 1IsNormal.idLinearOrderedCommGroup.discrete_iff_not_denselyOrdered · cited by 1LinearOrderedCommGroup.di…OrderEmbedding.range_eq_iff · cited by 1OrderEmbedding.range_eq_i…OrderIso.withBotCongr_refl · cited by 0OrderIso.withBotCongr_reflOrderIso.coe_refl · cited by 0OrderIso.coe_reflLowerSet.map_refl · cited by 0LowerSet.map_reflOrderIso.withTopCongr_refl · cited by 0OrderIso.withTopCongr_reflOrderIso · cited by 874OrderIsoRelIso.refl · cited by 10RelIso.reflOrderIso.reflCITED BYCITES

Cites2

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Cited by30

Results whose statement or proof uses this declaration.