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Theorems · Theorem · order theory

ChainCompletePartialOrder.IsExtremePt.setOf_isExtremePt_eq_bot

Deprecated since 2026-07-09Use ChainCompletePartialOrder.IsExtremePt.setOfPred_isExtremePt_eq_bot instead.

∀ {α : Type u_1} [inst : ChainCompletePartialOrder α] {x : α} {f : α → α},
  (∀ (x : α), x ≤ f x) → {y | ChainCompletePartialOrder.IsExtremePt x f y} = ChainCompletePartialOrder.bot x f

Alias of ChainCompletePartialOrder.IsExtremePt.setOfPred_isExtremePt_eq_bot.

Defined in
Mathlib.Order.BourbakiWitt
Cited by
0 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ChainCompletePartialOrder
Mathlib docsSourceLoogleLeanSearch

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Set · cited by 53352SetSet.ofPred · cited by 6101Set.ofPredChainCompletePartialOrder · cited by 19ChainCompletePartialOrderChainCompletePartialOrder.bot · cited by 12ChainCompletePartialOrder…ChainCompletePartialOrder.IsExtremePt · cited by 8ChainCompletePartialOrder…ChainCompletePartialOrder.IsExtremePt.setOfPred_isExtremePt_eq_bot · cited by 2IsExtremePt.setOfPred_isE…IsExtremePt.setOf_isExtremePt…CITED BYCITES

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