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Theorems · Theorem · field theory

PerfectClosure.frobenius_mk

∀ (K : Type u) [inst : CommRing K] (p : ℕ) [inst_1 : Fact (Nat.Prime p)] [inst_2 : CharP K p] (x : ℕ × K),
  (frobenius (PerfectClosure K p) p) (PerfectClosure.mk K p x) = PerfectClosure.mk K p (x.1, x.2 ^ p)
Defined in
Mathlib.FieldTheory.PerfectClosure
Cited by
1 results in Mathlib
Foundations
Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingFactCharP
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Around this declaration

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

PerfectClosure.iterate_frobenius_mk · cited by 0PerfectClosure.iterate_fr…DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingRingHom · cited by 10189RingHomFact · cited by 2726FactNat.Prime · cited by 2059Nat.PrimeCharP · cited by 478CharPfrobenius · cited by 80frobeniusPerfectClosure.mk · cited by 23PerfectClosure.mkPerfectClosure · cited by 22PerfectClosurePerfectClosure.mk_pow · cited by 1PerfectClosure.mk_powPerfectClosure.frobenius_mkCITED BYCITES

Cites10

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Cited by1

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