Theorems · Theorem · order theory
DFinsupp.disjoint_iff
∀ {ι : Type u_1} {α : ι → Type u_2} [inst : (i : ι) → AddCommMonoid (α i)] [inst_1 : (i : ι) → LinearOrder (α i)]
[inst_2 : ∀ (i : ι), IsBotZeroClass (α i)] [inst_3 : DecidableEq ι] {f g : Π₀ (i : ι), α i},
Disjoint f g ↔ Disjoint f.support g.support- Defined in
- Mathlib.Data.DFinsupp.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- LinearOrderstatement and proof · cited by 8,572
- Disjointstatement · cited by 2,201
- DFinsuppstatement and proof · cited by 694
- DFinsupp.supportstatement and proof · cited by 158
- IsBotZeroClassstatement and proof · cited by 71
- bot_eq_zeroproof · cited by 31
- DFinsupp.support_infproof · cited by 1
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