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Theorems · Theorem · order theory

IsMax.not_isPredLimit

∀ {α : Type u_1} {a : α} [inst : Preorder α], IsMax a → ¬Order.IsPredLimit a
Defined in
Mathlib.Order.SuccPred.Limit
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
Preorder
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Around this declaration

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

Order.not_isPredLimit_top · cited by 0Order.not_isPredLimit_topPreorder · cited by 7952PreorderIsMax · cited by 372IsMaxOrder.IsPredLimit · cited by 60Order.IsPredLimitOrder.IsPredLimit.not_isMax · cited by 11IsPredLimit.not_isMaxIsMax.not_isPredLimitCITED 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.