Theorems · Theorem · general algebraic systems
Finsupp.single_zero
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] (a : α), (fun₀ | a => 0) = 0- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 63 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsuppstatement · cited by 5,255
- Finsupp.singlestatement and proof · cited by 943
- DFunLike.coe_injectiveproof · cited by 161
- Function.update_eq_selfproof · cited by 41
- Finsupp.single_eq_updateproof · cited by 1
Cited by63
Results whose statement or proof uses this declaration.
- Finsupp.mapDomain_singleproof · cited by 48
- PowerSeries.coeff_zero_eq_constantCoeffproof · cited by 41
- Finsupp.mapDomain_compproof · cited by 13
- Finsupp.mapDomain_applyproof · cited by 11
- AddMonoidAlgebra.single_zeroproof · cited by 9
- Finsupp.comapDomain_singleproof · cited by 9
- Finsupp.mapDomain_addproof · cited by 8
- SkewMonoidAlgebra.single_zeroproof · cited by 8
- groupHomology.comp_d₃₂_eqproof · cited by 6
- Ordinal.CNF.eval_single_add'proof · cited by 5
- groupHomology.d₂₁_singleproof · cited by 5
- MonoidAlgebra.single_zeroproof · cited by 5