Theorems · Theorem · commutative algebra
MvPolynomial.linearIndependent_X
∀ (σ : Type u) (R : Type v) [inst : CommSemiring R], LinearIndependent R MvPolynomial.X
- Defined in
- Mathlib.RingTheory.MvPolynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 · cited by 2,140
- Finsupp.singleproof · cited by 943
- one_ne_zeroproof · cited by 885
- LinearIndependentstatement · cited by 560
- MvPolynomial.Xstatement · cited by 552
- Module.Basis.linearIndependentproof · cited by 54
- LinearIndependent.compproof · cited by 41
- MvPolynomial.basisMonomialsproof · cited by 6
- Finsupp.single_left_injectiveproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicIndependent.linearIndependentproof · cited by 2