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Theorems · Theorem · measure theory

Set.indicator_congr

∀ {α : Type u_1} {M : Type u_3} [inst : Zero M] {s : Set α} {f g : α → M},
  Set.EqOn f g s → s.indicator f = s.indicator g
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
Zero
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Around this declaration

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

Set.indicator_add_eq_left · cited by 2Set.indicator_add_eq_leftSet.indicator_add_eq_right · cited by 2Set.indicator_add_eq_rightSet · cited by 53352SetSet.indicator · cited by 723Set.indicatorSet.EqOn · cited by 603Set.EqOnSet.indicator_congrCITED BYCITES

Cites3

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.indicatorstatement · cited by 723
  • Set.EqOnstatement and proof · cited by 603

Cited by2

Results whose statement or proof uses this declaration.