Theorems · Theorem · commutative algebra
MvPolynomial.coe_eq_one_iff
∀ {σ : Type u_1} {R : Type u_2} [inst : CommSemiring R] {φ : MvPolynomial σ R}, ↑φ = 1 ↔ φ = 1- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- MvPowerSeriesstatement and proof · cited by 659
- MvPolynomial.toMvPowerSeriesstatement and proof · cited by 59
- MvPolynomial.coe_injproof · cited by 3
- MvPolynomial.coe_oneproof · cited by 1
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