Theorems · Theorem · field theory
IsAlgClosed.exists_eq_mul_self
∀ {k : Type u} [inst : Field k] [IsAlgClosed k] (x : k), ∃ z, x = z * z- Defined in
- Mathlib.FieldTheory.IsAlgClosed.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldIsAlgClosed
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Cites5
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
- sqproof · cited by 280
- IsAlgClosedstatement and proof · cited by 150
- zero_lt_twoproof · cited by 124
- IsAlgClosed.exists_pow_nat_eqproof · cited by 2
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