Theorems · Theorem · commutative algebra
Perfection.coeffMonoidHom_pow_p_pow
∀ {M : Type u_1} [inst : CommMonoid M] {p : ℕ} (f : Perfection M p) (m n : ℕ),
(Perfection.coeffMonoidHom M p (m + n)) (f ^ p ^ n) = (Perfection.coeffMonoidHom M p m) f- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- add_zeroproof · cited by 2,707
- CommMonoidstatement and proof · cited by 2,264
- pow_zeroproof · cited by 1,094
- pow_oneproof · cited by 894
- pow_succproof · cited by 374
- pow_mulproof · cited by 210
- Perfectionstatement and proof · cited by 84
- Perfection.coeffMonoidHomstatement and proof · cited by 24
- Perfection.coeffMonoidHom_pow_pproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Perfection.coeffMonoidHom_pow_p_pow'proof · cited by 1