Theorems · Theorem · measure theory
Set.mulIndicator_eq_mulIndicator
∀ {α : Type u_1} {β : Type u_2} {M : Type u_3} [inst : One M] {s : Set α} {f : α → M} {a : α} {t : Set β} {g : β → M}
{b : β}, (a ∈ s ↔ b ∈ t) → f a = g b → s.mulIndicator f a = t.mulIndicator g b- Defined in
- Mathlib.Algebra.Notation.Indicator
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- One
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.mulIndicatorstatement · cited by 163
- Set.mulIndicator_of_notMemproof · cited by 27
- Set.mulIndicator_of_memproof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- Set.mulIndicator_const_eq_mulIndicator_constproof · cited by 0