Theorems · Theorem · order theory

Function.support_sup

∀ {α : Type u_2} {M : Type u_3} [inst : Zero M] [inst_1 : SemilatticeSup M] (f g : α → M),
  (Function.support fun x => f x ⊔ g x) ⊆ Function.support f ∪ Function.support g

Defined in

Mathlib.Algebra.Order.Group.Indicator

Cited by

4 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ZeroSemilatticeSup