Theorems · Theorem · field theory
IsRealClosed.exists_eq_pow_of_nonneg
∀ {R : Type u} [inst : Field R] [IsRealClosed R] [inst_2 : LinearOrder R] [IsStrictOrderedRing R] {x : R},
0 ≤ x → ∀ {n : ℕ}, n ≠ 0 → ∃ r, x = r ^ n- Defined in
- Mathlib.FieldTheory.IsRealClosed.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- IsStrictOrderedRingstatement and proof · cited by 2,490
- IsRealClosedstatement and proof · cited by 13
- IsSquare.of_nonnegproof · cited by 2
- IsRealClosed.exists_eq_pow_of_isSquareproof · cited by 2
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