Theorems · Theorem · general algebraic systems
Finsupp.support_zipWith
∀ {α : Type u_1} {M : Type u_4} {N : Type u_5} {O : Type u_6} [inst : Zero M] [inst_1 : Zero N] [inst_2 : Zero O]
[D : DecidableEq α] {f : M → N → O} {hf : f 0 0 = 0} {g₁ : α →₀ M} {g₂ : α →₀ N},
(Finsupp.zipWith f hf g₁ g₂).support ⊆ g₁.support ∪ g₂.support- Defined in
- Mathlib.Data.Finsupp.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroZeroZeroDecidableEq
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 and proof · cited by 13,712
- Finsuppstatement and proof · cited by 5,255
- Finsupp.supportstatement and proof · cited by 828
- Classical.decEqproof · cited by 134
- Finsupp.onFinsetproof · cited by 20
- Finsupp.zipWithstatement and proof · cited by 9
- Finsupp.support_onFinset_subsetproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Finsupp.support_addproof · cited by 17
- Finsupp.support_add_eqproof · cited by 10