Theorems · Theorem · field theory
isAlgClosure_iff
∀ (k : Type u) [inst : Field k] (K : Type v) [inst_1 : Field K] [inst_2 : Algebra k K], IsAlgClosure k K ↔ IsAlgClosed K ∧ Algebra.IsAlgebraic k K
- Defined in
- Mathlib.FieldTheory.IsAlgClosed.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Algebra.IsAlgebraicstatement and proof · cited by 322
- IsAlgClosedstatement and proof · cited by 150
- IsAlgClosurestatement and proof · cited by 16
- IsAlgClosure.isAlgClosedproof · cited by 3
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