Theorems · Theorem · field theory
IsPRadical.trans
∀ {K : Type u_1} {L : Type u_2} {M : Type u_3} [inst : CommSemiring K] [inst_1 : CommSemiring L]
[inst_2 : CommSemiring M] (i : K →+* L) (f : L →+* M) (p : ℕ) [IsPRadical i p] [IsPRadical f p],
IsPRadical (f.comp i) pComposition of p-radical ring homomorphisms is also p-radical.
- Defined in
- Mathlib.FieldTheory.IsPerfectClosure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- RingHom.compstatement and proof · cited by 899
- map_powproof · cited by 503
- RingHom.kerproof · cited by 363
- pow_addproof · cited by 315
- pow_mulproof · cited by 210
- RingHom.mem_kerproof · cited by 49
- RingHom.comp_applyproof · cited by 41
- IsPRadicalstatement and proof · cited by 34
- IsPRadical.pow_memproof · cited by 4
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