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Theorems · Theorem · measure theory

MeasureTheory.IsSetSemiring.empty_notMem_disjointOfUnion

∀ {α : Type u_1} {C : Set (Set α)} {j : Set α} {J : Finset (Set α)} (hC : MeasureTheory.IsSetSemiring C) (hJ : ↑J ⊆ C),
  j ∈ J → ∅ ∉ hC.disjointOfUnion hJ j
Defined in
Mathlib.MeasureTheory.SetSemiring
Cited by
1 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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MeasureTheory.IsSetSemiring.disjointOfUnion_props · cited by 0IsSetSemiring.disjointOfU…Set · cited by 53352SetFinset · cited by 13712FinsetSetLike.coe · cited by 8199SetLike.coeMeasureTheory.IsSetSemiring · cited by 78MeasureTheory.IsSetSemiri…MeasureTheory.IsSetSemiring.disjointOfUnion · cited by 10IsSetSemiring.disjointOfU…Finpartition.bot_notMem · cited by 7Finpartition.bot_notMemIsSetSemiring.empty_notMem_di…CITED BYCITES

Cites6

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Cited by1

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