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Theorems · Definition · order theory

Order.IsSuccLimit.casesOn

{α : Type u_1} →
  [inst : Preorder α] →
    {a : α} →
      {motive : Order.IsSuccLimit a → Sort u} →
        (t : Order.IsSuccLimit a) →
          ((not_isMin : ¬IsMin a) → (isSuccPrelimit : Order.IsSuccPrelimit 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.isSuccLimit_iff · cited by 9Order.isSuccLimit_iffPreorder · cited by 7952PreorderIsMin · cited by 277IsMinOrder.IsSuccLimit · cited by 255Order.IsSuccLimitOrder.IsSuccPrelimit · cited by 157Order.IsSuccPrelimitIsSuccLimit.casesOnCITED BYCITES

Cites4

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

Cited by1

Results whose statement or proof uses this declaration.