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Theorems · Theorem · commutative algebra

MvPolynomial.transcendental_X

∀ {σ : Type u_1} (R : Type u_2) [inst : CommRing R] (i : σ), Transcendental R (MvPolynomial.X i)
Defined in
Mathlib.RingTheory.Algebraic.MvPolynomial
Cited by
1 results in Mathlib
Foundations
Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MvRatFunc.rank_eq_max_lift · cited by 1MvRatFunc.rank_eq_max_liftCommRing · cited by 17173CommRingFinsupp · cited by 5255FinsuppMvPolynomial · cited by 2140MvPolynomialMvPolynomial.X · cited by 552MvPolynomial.XPolynomial.aeval_X · cited by 120Polynomial.aeval_XTranscendental · cited by 91TranscendentalPolynomial.transcendental_X · cited by 5Polynomial.transcendental…MvPolynomial.transcendental_polynomial_aeval_X · cited by 2MvPolynomial.transcendent…MvPolynomial.transcendental_XCITED BYCITES

Cites8

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Cited by1

Results whose statement or proof uses this declaration.