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Theorems · Theorem · combinatorics

Set.Intersecting.bot_notMem

∀ {α : Type u_1} [inst : SemilatticeInf α] [inst_1 : OrderBot α] {s : Set α}, s.Intersecting → ⊥ ∉ s
Defined in
Mathlib.Combinatorics.SetFamily.Intersecting
Cited by
1 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
SemilatticeInfOrderBot
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Set.Intersecting.ne_bot · cited by 4Intersecting.ne_botSet · cited by 53352SetBot.bot · cited by 4720Bot.botOrderBot · cited by 1055OrderBotSemilatticeInf · cited by 634SemilatticeInfSet.Intersecting · cited by 22Set.Intersectingdisjoint_bot_left · cited by 8disjoint_bot_leftIntersecting.bot_notMemCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.