Theorems · Theorem · general algebraic systems
Finsupp.support_single
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] {b : M} (a : α), b ≠ 0 → (fun₀ | a => b).support = {a}- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 39 results in Mathlib
- Foundations
- Depth 60 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finsupp.singlestatement · cited by 943
- Finsupp.supportstatement · cited by 828
Cited by39
Results whose statement or proof uses this declaration.
- Polynomial.support_monomialproof · cited by 11
- Finsupp.comapDomain_singleproof · cited by 9
- MvPolynomial.isHomogeneous_Xproof · cited by 5
- LinearIndependent.eq_zero_of_smul_mem_spanproof · cited by 3
- Finsupp.induction₂proof · cited by 3
- Finsupp.support_eq_singletonproof · cited by 2
- LaurentPolynomial.support_coeff_C_mul_T_of_ne_zeroproof · cited by 2
- MvPolynomial.vars_Xproof · cited by 2
- MvPolynomial.eval₂_mul_monomialproof · cited by 2
- SkewMonoidAlgebra.support_singleproof · cited by 2
- Finsupp.support_eq_singleton'proof · cited by 1
- MonoidAlgebra.support_coeff_oneproof · cited by 1