Theorems · Definition · field theory
powMulEquiv
(M : Type u_1) → (p : ℕ) → [inst : CommMonoid M] → [PerfectRing M p] → M ≃* M
The p-th power automorphism for a perfect monoid.
- Defined in
- Mathlib.FieldTheory.Perfect
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice
- Assumes
- CommMonoidPerfectRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidstatement and proof · cited by 2,264
- MulEquivstatement · cited by 1,142
- PerfectRingstatement and proof · cited by 154
- powMonoidHomproof · cited by 35
- MulEquiv.ofBijectiveproof · cited by 5
Cited by13
Results whose statement or proof uses this declaration.
- Perfection.liftMonoidHomproof · cited by 4
- powMulEquiv_onestatement · cited by 2
- Perfection.pthRootMonoidHom_eq_powMulEquiv_symmstatement and proof · cited by 2
- Perfection.coeffMonoidHom_symm_powMulEquivstatement · cited by 2
- powMulEquiv.congr_simpstatement and proof · cited by 1
- powMulEquiv_applystatement and proof · cited by 1
- powMulEquiv_mulstatement · cited by 1
- Perfection.coe_pthRootMonoidHom_eq_powMulEquiv_symmstatement · cited by 1
- Perfection.coeffMonoidHom_iterate_symm_powMulEquivstatement and proof · cited by 1
- powMulEquiv_eq_toMulEquiv_frobeniusEquivstatement · cited by 0
- powMulEquiv_mul'statement · cited by 0
- powMulEquiv_powstatement and proof · cited by 0