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Theorems · Theorem · order theory

DFinsupp.support_inf

∀ {ι : Type u_1} {α : ι → Type u_2} [inst : (i : ι) → AddCommMonoid (α i)] [inst_1 : (i : ι) → LinearOrder (α i)]
  [∀ (i : ι), IsBotZeroClass (α i)] [inst_3 : DecidableEq ι] {f g : Π₀ (i : ι), α i},
  (f ⊓ g).support = f.support ∩ g.support
Defined in
Mathlib.Data.DFinsupp.Order
Cited by
1 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidLinearOrderIsBotZeroClassDecidableEq
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Around this declaration

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

DFinsupp.disjoint_iff · cited by 0DFinsupp.disjoint_iffDFunLike.coe · cited by 62936DFunLike.coeFinset · cited by 13712FinsetAddCommMonoid · cited by 12281AddCommMonoidLinearOrder · cited by 8572LinearOrderDFinsupp · cited by 694DFinsuppFinset.ext · cited by 565Finset.extDFinsupp.support · cited by 158DFinsupp.supportIsBotZeroClass · cited by 71IsBotZeroClassDFinsupp.support_infCITED BYCITES

Cites8

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Cited by1

Results whose statement or proof uses this declaration.