Theorems · Theorem · measure theory
Set.indicator_const_preimage
∀ {α : Type u_1} {M : Type u_3} [inst : Zero M] (U : Set α) (s : Set M) (a : M),
(U.indicator fun x => a) ⁻¹' s ∈ {Set.univ, U, Uᶜ, ∅}- Defined in
- Mathlib.Algebra.Notation.Indicator
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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.univstatement and proof · cited by 3,945
- Compl.complstatement and proof · cited by 2,925
- IsEmptyproof · cited by 759
- Set.indicatorstatement · cited by 723
- Set.mem_singleton_iffproof · cited by 172
- Set.union_emptyproof · cited by 78
- Set.union_compl_selfproof · cited by 57
- Set.empty_unionproof · cited by 52
- Set.mem_insert_iffproof · cited by 39
- Set.union_selfproof · cited by 32
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Filtration.filtrationOfSet_eq_naturalproof · cited by 1
- Set.indicator_one_preimageproof · cited by 0