Theorems · Theorem · commutative algebra
MvPolynomial.isUnit_iff_eq_C_of_isReduced
∀ {σ : Type u_1} {R : Type u_2} [inst : CommRing R] {P : MvPolynomial σ R} [IsReduced R],
IsUnit P ↔ ∃ r, IsUnit r ∧ P = MvPolynomial.C r- Defined in
- Mathlib.Algebra.MvPolynomial.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- IsUnitstatement and proof · cited by 1,602
- MvPolynomial.Cstatement and proof · cited by 400
- MvPolynomial.coeffproof · cited by 315
- IsReducedstatement and proof · cited by 98
- MvPolynomial.totalDegree_eq_zero_iff_eq_Cproof · cited by 9
- MvPolynomial.coeff_zero_Cproof · cited by 7
- MvPolynomial.isUnit_iff_totalDegree_of_isReducedproof · cited by 3
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