Theorems · Theorem · commutative algebra
Perfection.coeffMonoidHom_symm_powMulEquiv
∀ {M : Type u_1} [inst : CommMonoid M] {p : ℕ} (f : Perfection M p) (n : ℕ),
(Perfection.coeffMonoidHom M p n) ((powMulEquiv (Perfection M p) p).symm f) =
(Perfection.coeffMonoidHom M p (n + 1)) f- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- MonoidHomstatement · cited by 3,629
- CommMonoidstatement and proof · cited by 2,264
- MulEquivstatement · cited by 1,142
- MulEquiv.symmstatement · cited by 482
- Perfectionstatement and proof · cited by 84
- Perfection.coeffMonoidHomstatement and proof · cited by 24
- powMulEquivstatement · cited by 12
- Perfection.pthRootMonoidHomproof · cited by 6
- Perfection.coe_pthRootMonoidHom_eq_powMulEquiv_symmproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Perfection.coeffMonoidHom_iterate_symm_powMulEquivproof · cited by 1
- Perfection.coeff_symm_frobeniusEquivproof · cited by 1