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Theorems · Definition · order theory

Order.IsPredLimit.casesOn

{α : Type u_1} →
  [inst : Preorder α] →
    {a : α} →
      {motive : Order.IsPredLimit a → Sort u} →
        (t : Order.IsPredLimit a) →
          ((not_isMax : ¬IsMax a) → (isPredPrelimit : Order.IsPredPrelimit a) → motive ⋯) → motive t
Defined in
Mathlib.Order.SuccPred.Limit
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
Preorder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Order.isPredLimit_iff · cited by 10Order.isPredLimit_iffPreorder · cited by 7952PreorderIsMax · cited by 372IsMaxOrder.IsPredPrelimit · cited by 93Order.IsPredPrelimitOrder.IsPredLimit · cited by 60Order.IsPredLimitIsPredLimit.casesOnCITED BYCITES

Cites4

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Cited by1

Results whose statement or proof uses this declaration.