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Theorems · Theorem · general algebraic systems

DFinsupp.support_single

∀ {ι : Type u} {β : ι → Type v} [inst : DecidableEq ι] [inst_1 : (i : ι) → Zero (β i)]
  [inst_2 : (i : ι) → (x : β i) → Decidable (x ≠ 0)] {i : ι} {b : β i}, b ≠ 0 → (fun₀ | i => b).support = {i}
Defined in
Mathlib.Data.DFinsupp.Defs
Cited by
4 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqZeroDecidable
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Around this declaration

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

DFinsupp.sum_single_index · cited by 5DFinsupp.sum_single_indexDFinsupp.support_single_ne_zero · cited by 0DFinsupp.support_single_n…DirectSum.support_of · cited by 0DirectSum.support_ofDFinsupp.prod_single_index · cited by 0DFinsupp.prod_single_indexFinset · cited by 13712FinsetDFinsupp.support · cited by 158DFinsupp.supportDFinsupp.single · cited by 113DFinsupp.singleDFinsupp.support_singleCITED BYCITES

Cites3

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Cited by4

Results whose statement or proof uses this declaration.