Theorems · Theorem · field theory
IntermediateField.AdjoinSimple.normal_algebraicClosure
∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] {x : L},
IsIntegral K x → Normal K (AlgebraicClosure ↥K⟮x⟯)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- IntermediateFieldstatement · cited by 988
- IsIntegralstatement and proof · cited by 427
- IntermediateField.adjoinstatement and proof · cited by 382
- Algebra.IsAlgebraicproof · cited by 322
- Normalstatement · cited by 92
- AlgebraicClosurestatement and proof · cited by 53
- IntermediateField.isAlgebraic_adjoin_simpleproof · cited by 4
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