Theorems · Theorem
Function.HasFiniteSupport.sup
∀ {α : Type u_1} {M : Type u_2} [inst : Zero M] [inst_1 : SemilatticeSup M] {f g : α → M},
Function.HasFiniteSupport f → Function.HasFiniteSupport g → Function.HasFiniteSupport fun a => f a ⊔ g a- Defined in
- Mathlib.Algebra.FiniteSupport.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroSemilatticeSup
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SemilatticeSupstatement and proof · cited by 785
- Set.Finite.subsetproof · cited by 285
- Function.HasFiniteSupportstatement and proof · cited by 113
- Set.Finite.unionproof · cited by 74
- Function.support_supproof · cited by 4
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