Theorems · Theorem · field theory
Polynomial.trdeg_of_isDomain
∀ {R : Type u_1} [inst : CommRing R] [IsDomain R], Algebra.trdeg R (Polynomial R) = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
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
- Polynomialstatement and proof · cited by 5,681
- Cardinalstatement · cited by 2,598
- Nat.cast_oneproof · cited by 2,501
- IsDomainstatement and proof · cited by 2,196
- Cardinal.liftproof · cited by 583
- Cardinal.mk_fintypeproof · cited by 81
- Fintype.card_uniqueproof · cited by 59
- Algebra.trdegstatement and proof · cited by 39
- Cardinal.lift_oneproof · cited by 33
- Cardinal.lift_uzeroproof · cited by 31
- IsTranscendenceBasis.lift_cardinalMk_eq_trdegproof · cited by 7
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