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Theorems · Theorem · group theory

Set.mulIndicator_union_of_disjoint

∀ {α : Type u_1} {M : Type u_4} [inst : MulOneClass M] {s t : Set α},
  Disjoint s t → ∀ (f : α → M), (s ∪ t).mulIndicator f = fun a => s.mulIndicator f a * t.mulIndicator f a
Defined in
Mathlib.Algebra.Group.Indicator
Cited by
3 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MulOneClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Set.mulIndicator_sdiff · cited by 2Set.mulIndicator_sdiffHasProd.mul_disjoint · cited by 1HasProd.mul_disjointSet.mulIndicator_symmDiff · cited by 0Set.mulIndicator_symmDiffSet · cited by 53352SetDisjoint · cited by 2201DisjointMulOneClass · cited by 1018MulOneClassSet.mulIndicator · cited by 163Set.mulIndicatorDisjoint.le_bot · cited by 52Disjoint.le_botSet.mulIndicator_union_of_notMem_inter · cited by 3Set.mulIndicator_union_of…Set.mulIndicator_union_of_dis…CITED BYCITES

Cites6

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Cited by3

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