Theorems · Theorem · field theory
IsAlgebraic.of_pow
∀ {R : Type u} {A : Type v} [inst : CommRing R] [inst_1 : Ring A] [inst_2 : Algebra R A] {r : A} {n : ℕ},
0 < n → IsAlgebraic R (r ^ n) → IsAlgebraic R r- Defined in
- Mathlib.RingTheory.Algebraic.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Polynomialproof · cited by 5,681
- Polynomial.aevalproof · cited by 615
- IsAlgebraicstatement and proof · cited by 163
- Polynomial.expandproof · cited by 90
- Polynomial.expand_aevalproof · cited by 4
- Polynomial.expand_ne_zeroproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Transcendental.powproof · cited by 0