Mathlib Map

Theorems · Theorem · general algebraic systems

DFinsupp.support_add

∀ {ι : Type u} {β : ι → Type v} [inst : DecidableEq ι] [inst_1 : (i : ι) → AddZeroClass (β i)]
  [inst_2 : (i : ι) → (x : β i) → Decidable (x ≠ 0)] {g₁ g₂ : Π₀ (i : ι), β i},
  (g₁ + g₂).support ⊆ g₁.support ∪ g₂.support
Defined in
Mathlib.Data.DFinsupp.Defs
Cited by
2 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqAddZeroClassDecidable
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Around this declaration

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

DFinsupp.sum_add_index · cited by 1DFinsupp.sum_add_indexDFinsupp.prod_add_index · cited by 1DFinsupp.prod_add_indexFinset · cited by 13712FinsetAddZeroClass · cited by 1237AddZeroClassDFinsupp · cited by 694DFinsuppDFinsupp.support · cited by 158DFinsupp.supportDFinsupp.support_zipWith · cited by 1DFinsupp.support_zipWithDFinsupp.support_addCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.