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Theorems · Theorem · combinatorics

Set.Intersecting.compl_notMem

∀ {α : Type u_1} [inst : BooleanAlgebra α] {s : Set α}, s.Intersecting → ∀ {a : α}, a ∈ s → aᶜ ∉ s
Defined in
Mathlib.Combinatorics.SetFamily.Intersecting
Cited by
1 results in Mathlib
Foundations
Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
BooleanAlgebra
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Around this declaration

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

Set.Intersecting.disjoint_map_compl · cited by 2Intersecting.disjoint_map…Set · cited by 53352SetCompl.compl · cited by 2925Compl.complBooleanAlgebra · cited by 300BooleanAlgebradisjoint_compl_right · cited by 47disjoint_compl_rightSet.Intersecting · cited by 22Set.IntersectingIntersecting.compl_notMemCITED BYCITES

Cites5

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Cited by1

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