Theorems · Theorem · field theory
IsRealClosed.exists_eq_zpow_of_odd
∀ {R : Type u} [inst : Field R] [IsRealClosed R] (x : R) {k : ℤ}, Odd k → ∃ r, x = r ^ k- Defined in
- Mathlib.FieldTheory.IsRealClosed.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldIsRealClosed
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- inv_invproof · cited by 494
- Oddstatement and proof · cited by 364
- zpow_natCastproof · cited by 271
- zpow_negproof · cited by 198
- inv_powproof · cited by 140
- IsRealClosedstatement and proof · cited by 13
- IsRealClosed.exists_eq_pow_of_oddproof · cited by 2
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