Theorems · Theorem · commutative algebra
IsAdjoinRootMonic.powerBasis_basis
∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : Ring S] {f : Polynomial R} [inst_2 : Algebra R S]
(h : IsAdjoinRootMonic S f), h.powerBasis.basis = h.basis- Defined in
- Mathlib.RingTheory.IsAdjoinRoot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- Module.Basisstatement · cited by 1,477
- Polynomial.natDegreestatement · cited by 1,105
- PowerBasis.basisstatement and proof · cited by 54
- IsAdjoinRootMonicstatement and proof · cited by 35
- IsAdjoinRootMonic.basisstatement · cited by 10
- IsAdjoinRootMonic.powerBasisstatement and proof · cited by 5
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