Theorems · Theorem · group theory
Finsupp.update_eq_single_add
∀ {ι : Type u_1} {M : Type u_3} [inst : AddZeroClass M] {f : ι →₀ M} {a : ι},
f a = 0 → ∀ (b : M), f.update a b = (fun₀ | a => b) + f- Defined in
- Mathlib.Algebra.Group.Finsupp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClass
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- AddZeroClassstatement and proof · cited by 1,237
- Finsupp.singlestatement and proof · cited by 943
- Finsupp.updatestatement · cited by 52
- Finsupp.erase_of_notMem_supportproof · cited by 9
- Finsupp.update_eq_single_add_eraseproof · cited by 2
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