Theorems · Theorem · commutative algebra
MvPolynomial.mem_support_coeff_optionEquivLeft
∀ (R : Type u) {σ : Type u_1} [inst : CommSemiring R] {f : MvPolynomial (Option σ) R} {i : ℕ} {m : σ →₀ ℕ},
m ∈ (((MvPolynomial.optionEquivLeft R σ) f).coeff i).support ↔ Finsupp.optionElim i m ∈ f.support- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement · cited by 5,681
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- AlgEquivstatement · cited by 1,681
- Polynomial.coeffstatement and proof · cited by 1,045
- MvPolynomial.coeffproof · cited by 315
- MvPolynomial.supportstatement · cited by 220
- MvPolynomial.optionEquivLeftstatement and proof · cited by 36
- Finsupp.optionElimstatement and proof · cited by 16
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