Theorems · Theorem · group theory
Finsupp.single_add
∀ {ι : Type u_1} {M : Type u_3} [inst : AddZeroClass M] (a : ι) (b₁ b₂ : M),
(fun₀ | a => b₁ + b₂) = (fun₀ | a => b₁) + fun₀ | a => b₂- Defined in
- Mathlib.Algebra.Group.Finsupp
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 66 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsuppstatement · cited by 5,255
- AddZeroClassstatement and proof · cited by 1,237
- Finsupp.singlestatement · cited by 943
- Finsupp.zipWith_single_singleproof · cited by 2
Cited by24
Results whose statement or proof uses this declaration.
- Finsupp.singleAddHomproof · cited by 14
- Finsupp.mapDomain_compproof · cited by 13
- PowerSeries.coeff_derivativeproof · cited by 8
- Finsupp.mapDomain_addproof · cited by 8
- PowerSeries.coeff_succ_mul_Xproof · cited by 6
- SkewMonoidAlgebra.single_addproof · cited by 5
- PowerSeries.coeff_succ_X_mulproof · cited by 4
- Matrix.Nonsingular.of_linearIndependent_colproof · cited by 3
- MvPowerSeries.X_pow_eqproof · cited by 3
- Nat.pow_succ_factorization_not_dvdproof · cited by 2
- Finsupp.antidiagonal_singleproof · cited by 2
- TensorProduct.finsuppLeft_apply_tmulproof · cited by 2