Mathlib Map

Theorems · Definition · order theory

decidableLTOfDecidableLE

{α : Type u_1} → [inst : Preorder α] → [DecidableLE α] → DecidableLT α

< is decidable if ≤ is.

Defined in
Mathlib.Order.Defs.PartialOrder
Cited by
0 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
PreorderDecidableLE
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

linearOrderOfSTO · cited by 11linearOrderOfSTOFirstOrder.Language.linearOrderOfModels · cited by 2Language.linearOrderOfMod…IsChain.linearOrder · cited by 1IsChain.linearOrderLinearOrder.ofSubsingleton · cited by 0LinearOrder.ofSubsingletonIsSimpleOrder.linearOrder · cited by 0IsSimpleOrder.linearOrderLinearOrder.mkOfAddGroupCone · cited by 0LinearOrder.mkOfAddGroupC…LinearOrder.mkOfGroupCone · cited by 0LinearOrder.mkOfGroupConePreorder · cited by 7952PreorderdecidableLTOfDecidableLECITED BYCITES

Cites1

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

  • Preorderstatement and proof · cited by 7,952

Cited by7

Results whose statement or proof uses this declaration.