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Theorems · Theorem · order theory

Order.isPredPrelimit_iff_isPredLimit

∀ {α : Type u_1} {a : α} [inst : Preorder α] [NoMaxOrder α], Order.IsPredPrelimit a ↔ Order.IsPredLimit a
Defined in
Mathlib.Order.SuccPred.Limit
Cited by
1 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PreorderNoMaxOrder
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Around this declaration

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

Order.IsPredPrelimit.isPredLimit · cited by 0IsPredPrelimit.isPredLimitPreorder · cited by 7952PreorderNoMaxOrder · cited by 340NoMaxOrderOrder.IsPredPrelimit · cited by 93Order.IsPredPrelimitOrder.IsPredLimit · cited by 60Order.IsPredLimitnot_isMax · cited by 46not_isMaxOrder.isPredPrelimit_iff_isPredLimit_of_not_isMax · cited by 1Order.isPredPrelimit_iff_…Order.isPredPrelimit_iff_isPr…CITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.