Theorems · Theorem · commutative algebra
ringKrullDim_add_enatCard_le_ringKrullDim_mvPolynomial
∀ {R : Type u_1} [inst : CommRing R] (σ : Type u_3), ringKrullDim R + ↑(ENat.card σ) ≤ ringKrullDim (MvPolynomial σ R)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Top.topproof · cited by 9,680
- Finsuppstatement · cited by 5,255
- ENatstatement and proof · cited by 4,985
- Bot.botproof · cited by 4,720
- Finiteproof · cited by 3,029
- Nat.cast_oneproof · cited by 2,501
- Nontrivialproof · cited by 2,416
- MvPolynomialstatement and proof · cited by 2,140
- WithBotstatement · cited by 1,498
- LT.lt.ne'proof · cited by 1,417
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