Theorems · Theorem · commutative algebra
MvPolynomial.prime_rename_iff
∀ {R : Type u} {σ : Type v} [inst : CommRing R] (s : Set σ) {p : MvPolynomial (↑s) R},
Prime ((MvPolynomial.rename Subtype.val) p) ↔ Prime p- Defined in
- Mathlib.RingTheory.Polynomial.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites48
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
- Setstatement and proof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Set.Elemstatement and proof · cited by 7,166
- Finsuppstatement and proof · cited by 5,255
- Equiv.symmproof · cited by 3,681
- AlgHomstatement and proof · cited by 3,236
- Compl.complproof · cited by 2,925
- MvPolynomialstatement and proof · cited by 2,140
- AlgEquivproof · cited by 1,681
- Finsupp.singleproof · cited by 943
- AlgEquiv.symmproof · cited by 615
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