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Theorems · Theorem · order theory

Function.support_inf

∀ {α : Type u_2} {M : Type u_3} [inst : Zero M] [inst_1 : SemilatticeInf 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
ZeroSemilatticeInf
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Function.support_min · cited by 1Function.support_minMeasureTheory.FinStronglyMeasurable.inf · cited by 1FinStronglyMeasurable.infHasCompactSupport.inf · cited by 0HasCompactSupport.infFunction.HasFiniteSupport.inf · cited by 0HasFiniteSupport.infSet · cited by 53352SetSemilatticeInf · cited by 634SemilatticeInfFunction.support · cited by 610Function.supportinf_idem · cited by 37inf_idemFunction.support_binop_subset · cited by 6Function.support_binop_su…Function.support_infCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.