Theorems · Theorem · general algebraic systems
Finsupp.mapDomain_apply_eq_zero_iff_of_subsingletonAddUnits
∀ {α : Type u_1} {β : Type u_2} {M : Type u_5} [inst : AddCommMonoid M] (f : α → β) [Subsingleton (AddUnits M)]
(x : α →₀ M), Finsupp.mapDomain f x = 0 ↔ x = 0- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidSubsingleton
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- Finsupp.extproof · cited by 399
- AddUnitsstatement and proof · cited by 325
- Finsupp.mapDomainstatement and proof · cited by 168
- Finsupp.mapDomain_zeroproof · cited by 15
- Finsupp.ext_iffproof · cited by 10
- Finsupp.mapDomain_apply_eq_sumproof · cited by 1
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