Theorems · Theorem · measure theory
Set.mulIndicator_preimage
∀ {α : Type u_1} {M : Type u_3} [inst : One M] (s : Set α) (f : α → M) (B : Set M),
s.mulIndicator f ⁻¹' B = s.ite (f ⁻¹' B) (1 ⁻¹' B)- Defined in
- Mathlib.Algebra.Notation.Indicator
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 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.
Cites5
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.preimagestatement · cited by 4,946
- Set.mulIndicatorstatement · cited by 163
- Set.itestatement · cited by 44
- Set.piecewise_preimageproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Set.mulIndicator_const_preimage_eq_unionproof · cited by 1
- Set.mulIndicator_preimage_of_notMemproof · cited by 0