Theorems · Theorem · commutative algebra
MvPolynomial.of_irreducible_expand
∀ {R : Type u_1} (σ : Type u_2) [inst : CommRing R] {p : ℕ},
p ≠ 0 → ∀ {f : MvPolynomial σ R}, Irreducible ((MvPolynomial.expand p) f) → Irreducible f- Defined in
- Mathlib.Algebra.MvPolynomial.Expand
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites10
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
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement and proof · cited by 2,140
- Irreduciblestatement and proof · cited by 496
- IsLocalHomproof · cited by 100
- MvPolynomial.expandstatement and proof · cited by 44
- Irreducible.of_mapproof · cited by 4
- MvPolynomial.isLocalHom_expandproof · cited by 1
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