Theorems · Theorem · commutative algebra
Perfection.coeffMonoidHom_pow_p
∀ {M : Type u_1} [inst : CommMonoid M] {p : ℕ} (f : Perfection M p) (n : ℕ),
(Perfection.coeffMonoidHom M p (n + 1)) (f ^ p) = (Perfection.coeffMonoidHom M p n) f- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- map_powproof · cited by 503
- Perfectionstatement and proof · cited by 84
- Perfection.coeffMonoidHomstatement and proof · cited by 24
Cited by3
Results whose statement or proof uses this declaration.
- Perfection.coeffMonoidHom_powMonoidHomproof · cited by 2
- Perfection.coeff_pow_pproof · cited by 2
- Perfection.coeffMonoidHom_pow_p_powproof · cited by 1