Theorems · Theorem · group theory
Finsupp.support_add
∀ {ι : Type u_1} {M : Type u_3} [inst : AddZeroClass M] {g₁ g₂ : ι →₀ M} [inst_1 : DecidableEq ι],
(g₁ + g₂).support ⊆ g₁.support ∪ g₂.support- Defined in
- Mathlib.Algebra.Group.Finsupp
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClassDecidableEq
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.
- Finsetstatement · cited by 13,712
- Finsuppstatement and proof · cited by 5,255
- AddZeroClassstatement and proof · cited by 1,237
- Finsupp.supportstatement · cited by 828
- Finsupp.support_zipWithproof · cited by 2
Cited by17
Results whose statement or proof uses this declaration.
- Finsupp.sum_add_indexproof · cited by 18
- Finsupp.prod_add_indexproof · cited by 6
- AddMonoidAlgebra.sup_support_coeff_add_leproof · cited by 5
- Finsupp.support_finsetSumproof · cited by 3
- Polynomial.support_addproof · cited by 2
- List.support_sum_subsetproof · cited by 2
- Convexity.IsConvexSet.convexCombPair_memproof · cited by 1
- SkewMonoidAlgebra.support_addproof · cited by 1
- MvPolynomial.support_addproof · cited by 1
- Finsupp.support_single_add_single_subsetproof · cited by 1
- Finsupp.support_subproof · cited by 1
- AddMonoidAlgebra.mem_ideal_span_of'_imageproof · cited by 1