Theorems · Theorem · field theory
RingHom.map_iterate_frobeniusEquiv_symm
∀ {R : Type u_2} {S : Type u_3} [inst : CommSemiring R] [inst_1 : CommSemiring S] (p : ℕ) [inst_2 : ExpChar R p]
[inst_3 : PerfectRing R p] [inst_4 : ExpChar S p] [inst_5 : PerfectRing S p] (f : R →+* S) (n : ℕ) (x : R),
f ((⇑(frobeniusEquiv R p).symm)^[n] x) = (⇑(frobeniusEquiv S p).symm)^[n] (f x)- Defined in
- Mathlib.FieldTheory.Perfect
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- RingEquivstatement · cited by 1,147
- Nat.iteratestatement · cited by 740
- RingEquiv.symmstatement · cited by 567
- ExpCharstatement and proof · cited by 276
- PerfectRingstatement and proof · cited by 154
- RingHom.toMonoidHomproof · cited by 132
- frobeniusEquivstatement · cited by 48
- MonoidHom.map_iterate_frobeniusEquiv_symmproof · cited by 1
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