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Theorems · Theorem · order theory

Function.mulSupport_sup

∀ {α : Type u_2} {M : Type u_3} [inst : One M] [inst_1 : SemilatticeSup M] (f g : α → M),
  (Function.mulSupport fun x => f x ⊔ g x) ⊆ Function.mulSupport f ∪ Function.mulSupport g
Defined in
Mathlib.Algebra.Order.Group.Indicator
Cited by
3 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
OneSemilatticeSup
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Around this declaration

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

Function.mulSupport_max · cited by 1Function.mulSupport_maxFunction.HasFiniteMulSupport.sup · cited by 0HasFiniteMulSupport.supHasCompactMulSupport.sup · cited by 0HasCompactMulSupport.supSet · cited by 53352SetSemilatticeSup · cited by 785SemilatticeSupFunction.mulSupport · cited by 240Function.mulSupportsup_idem · cited by 29sup_idemFunction.mulSupport_binop_subset · cited by 6Function.mulSupport_binop…Function.mulSupport_supCITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.