Mathlib Map

Theorems · Definition · order theory

decidableEqOfDecidableLE

{α : Type u_1} → [inst : PartialOrder α] → [DecidableLE α] → DecidableEq α

Equality is decidable if ≤ is.

Defined in
Mathlib.Order.Defs.PartialOrder
Cited by
0 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
PartialOrderDecidableLE
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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linearOrderOfSTO · cited by 11linearOrderOfSTOFirstOrder.Language.linearOrderOfModels · cited by 2Language.linearOrderOfMod…IsChain.linearOrder · cited by 1IsChain.linearOrderLinearOrder.ofSubsingleton · cited by 0LinearOrder.ofSubsingletonLinearOrder.mkOfAddGroupCone · cited by 0LinearOrder.mkOfAddGroupC…LinearOrder.mkOfGroupCone · cited by 0LinearOrder.mkOfGroupConePartialOrder · cited by 6410PartialOrderle_antisymm · cited by 2068le_antisymmdecidableEqOfDecidableLECITED BYCITES

Cites2

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Cited by6

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