Theorems · Theorem · order theory

Set.indicator_apply_le

∀ {α : Type u_2} {M : Type u_3} [inst : AddMonoid M] [inst_1 : PartialOrder M] [CanonicallyOrderedAdd M] {a : α}
  {s : Set α} {f g : α → M}, (a ∈ s → f a ≤ g a) → s.indicator f a ≤ g a

Defined in

Mathlib.Algebra.Order.Group.Indicator

Cited by

3 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddMonoidPartialOrderCanonicallyOrderedAdd