Theorems · Theorem · commutative algebra
MvPolynomial.finrank_eq_zero
∀ {σ : Type u} {K : Type v} [inst : CommRing K] [Nontrivial K] [Nonempty σ], Module.finrank K (MvPolynomial σ K) = 0- Defined in
- Mathlib.RingTheory.MvPolynomial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingNontrivialNonempty
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Finsuppstatement · cited by 5,255
- Nontrivialstatement and proof · cited by 2,416
- MvPolynomialstatement · cited by 2,140
- Module.finrankstatement · cited by 1,770
- Module.Basis.linearIndependentproof · cited by 54
- MvPolynomial.basisMonomialsproof · cited by 6
- LinearIndependent.finrank_eq_zero_of_infiniteproof · cited by 2
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