Theorems · Theorem · group theory
Finsupp.support_single_add
∀ {ι : Type u_1} {M : Type u_3} [inst : AddZeroClass M] {a : ι} {b : M} {f : ι →₀ M} (ha : a ∉ f.support),
b ≠ 0 → ((fun₀ | a => b) + f).support = Finset.cons a f.support ha- Defined in
- Mathlib.Algebra.Group.Finsupp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finsuppstatement and proof · cited by 5,255
- Disjointproof · cited by 2,201
- AddZeroClassstatement and proof · cited by 1,237
- Finsupp.singlestatement and proof · cited by 943
- Finsupp.supportstatement and proof · cited by 828
- Finset.consstatement and proof · cited by 221
- Finset.cons_eq_insertproof · cited by 59
- Finsupp.support_singleproof · cited by 39
- Finset.disjoint_singleton_leftproof · cited by 17
- Finset.insert_eqproof · cited by 12
- Finsupp.support_add_eqproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.CNF.eval_single_add'proof · cited by 5