Theorems · Theorem · field theory
Polynomial.Gal.galActionHom_restrict
∀ {F : Type u_1} [inst : Field F] (p : Polynomial F) (E : Type u_2) [inst_1 : Field E] [inst_2 : Algebra F E]
[inst_3 : Fact (Polynomial.map (algebraMap F E) p).Splits] (ϕ : Gal(E/F)) (x : ↑(p.rootSet E)),
↑(((Polynomial.Gal.galActionHom p E) ((Polynomial.Gal.restrict p E) ϕ)) x) = ϕ ↑x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Polynomial.mapstatement and proof · cited by 806
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.Gal.card_complex_roots_eq_card_real_add_card_not_gal_invproof · cited by 2