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Theorems · Theorem · field theory

isAlgebraic_solvableByRad

∀ {F : Type u_1} {E : Type u_2} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E],
  (solvableByRad F E).IsAlgebraic
Defined in
Mathlib.FieldTheory.AbelRuffini
Cited by
2 results in Mathlib
Foundations
Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebra
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

isIntegral_of_mem_solvableByRad · cited by 1isIntegral_of_mem_solvabl…solvableByRad.induction · cited by 1solvableByRad.inductionAlgebra · cited by 11388AlgebraField · cited by 7404FieldIntermediateField.toSubalgebra · cited by 134IntermediateField.toSubal…solvableByRad · cited by 11solvableByRadSubalgebra.IsAlgebraic · cited by 6Subalgebra.IsAlgebraicmem_algebraicClosure_iff · cited by 5mem_algebraicClosure_iffsolvableByRad_le_algClosure · cited by 1solvableByRad_le_algClosu…isAlgebraic_solvableByRadCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.