Theorems · Definition · commutative algebra
Perfection.coeffMonoidHom
(M : Type u_1) → [inst : CommMonoid M] → (p : ℕ) → ℕ → Perfection M p →* M
The n-th coefficient of an element of the perfection.
- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement · cited by 3,629
- CommMonoidstatement and proof · cited by 2,264
- Perfectionstatement and proof · cited by 84
Cited by28
Results whose statement or proof uses this declaration.
- Perfection.coeffproof · cited by 51
- Perfection.pthRootMonoidHomproof · cited by 6
- Perfection.liftMonoidHomproof · cited by 4
- Perfection.mapMonoidHomproof · cited by 4
- Perfection.extMonoidstatement and proof · cited by 3
- Perfection.coeffMonoidHom_pow_pstatement and proof · cited by 3
- Perfection.pthRootMonoidHom_eq_powMulEquiv_symmproof · cited by 2
- Perfection.coeffMonoidHom_iterate_powMonoidHomstatement and proof · cited by 2
- Perfection.coeffMonoidHom_powMonoidHomstatement · cited by 2
- Perfection.coeffMonoidHom_pow_p'statement · cited by 2
- Perfection.coeffMonoidHom_symm_powMulEquivstatement and proof · cited by 2
- Perfection.coeffMonoidHom_zero_liftMonoidHomstatement · cited by 1