Theorems · Theorem · field theory
Polynomial.rootOfSplits.congr_simp
∀ {R : Type u_1} [inst : CommRing R] {f f_1 : Polynomial R} (e_f : f = f_1) (hf : f.Splits) (hfd : f.degree ≠ 0),
Polynomial.rootOfSplits hf hfd = Polynomial.rootOfSplits ⋯ ⋯- Defined in
- Mathlib.FieldTheory.SeparableDegree
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites6
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
- WithBotstatement · cited by 1,498
- Polynomial.degreestatement and proof · cited by 643
- Polynomial.Splitsstatement and proof · cited by 290
- Polynomial.rootOfSplitsstatement and proof · cited by 7
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