Theorems · Theorem · field theory
IsRealClosed.exists_eq_pow_of_odd
∀ {R : Type u} [inst : Field R] [IsRealClosed R] (x : R) {n : ℕ}, Odd n → ∃ r, x = r ^ n- Defined in
- Mathlib.FieldTheory.IsRealClosed.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldIsRealClosed
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- mul_oneproof · cited by 3,885
- Nat.cast_zeroproof · cited by 1,870
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Oddstatement and proof · cited by 364
- Polynomial.eval_Xproof · cited by 172
- Polynomial.IsRootproof · cited by 152
- Polynomial.eval_Cproof · cited by 145
- Polynomial.eval_subproof · cited by 124
- Polynomial.eval_powproof · cited by 75
Cited by2
Results whose statement or proof uses this declaration.
- IsRealClosed.exists_eq_pow_of_isSquareproof · cited by 2
- IsRealClosed.exists_eq_zpow_of_oddproof · cited by 0