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Theorems · Theorem · measure theory

Set.mulIndicator_mulSupport

∀ {α : Type u_1} {M : Type u_3} [inst : One M] {f : α → M}, (Function.mulSupport f).mulIndicator f = f
Defined in
Mathlib.Algebra.Notation.Indicator
Cited by
5 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
One
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

finprod_apply_ne_one · cited by 1finprod_apply_ne_oneSet.mulIndicator_inter_mulSupport · cited by 1Set.mulIndicator_inter_mu…finprod_mem_mulSupport · cited by 0finprod_mem_mulSupportSet.mulIndicator_mul_eq_left · cited by 0Set.mulIndicator_mul_eq_l…Set.mulIndicator_mul_eq_right · cited by 0Set.mulIndicator_mul_eq_r…Set.Subset.rfl · cited by 255Subset.rflFunction.mulSupport · cited by 240Function.mulSupportSet.mulIndicator · cited by 163Set.mulIndicatorSet.mulIndicator_eq_self · cited by 3Set.mulIndicator_eq_selfSet.mulIndicator_mulSupportCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.