Theorems · Theorem · field theory
Polynomial.algEquivOfTranscendental_apply_X
∀ (R : Type u_1) {S : Type u_2} [inst : CommRing R] [inst_1 : Ring S] [inst_2 : Algebra R S] (s : S)
(h : Transcendental R s), (Polynomial.algEquivOfTranscendental R s h) Polynomial.X = ⟨s, ⋯⟩- Defined in
- Mathlib.RingTheory.Algebraic.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Polynomialstatement · cited by 5,681
- AlgEquivstatement · cited by 1,681
- Polynomial.Xstatement · cited by 1,639
- Subalgebrastatement · cited by 1,353
- Algebra.adjoinstatement · cited by 535
- Polynomial.aeval_Xproof · cited by 120
- Transcendentalstatement and proof · cited by 91
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