Theorems · Theorem · order theory
Finsupp.support_sup
∀ {ι : Type u_1} {α : Type u_3} [inst : AddCommMonoid α] [inst_1 : LinearOrder α] [IsBotZeroClass α]
[inst_3 : DecidableEq ι] (f g : ι →₀ α), (f ⊔ g).support = f.support ∪ g.support- Defined in
- Mathlib.Data.Finsupp.Order
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- LinearOrderstatement and proof · cited by 8,572
- Finsuppstatement and proof · cited by 5,255
- Finsupp.supportstatement · cited by 828
- Finset.extproof · cited by 565
- IsBotZeroClassstatement and proof · cited by 71
Cited by1
Results whose statement or proof uses this declaration.
- ArithmeticFunction.IsMultiplicative.lcm_apply_mul_gcd_applyproof · cited by 2