Theorems · Theorem · commutative algebra
Perfection.extMonoid
∀ {M : Type u_1} [inst : CommMonoid M] {p : ℕ} {f g : Perfection M p},
(∀ (n : ℕ), (Perfection.coeffMonoidHom M p n) f = (Perfection.coeffMonoidHom M p n) g) → f = g- 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.
Cites5
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
- Perfectionstatement and proof · cited by 84
- Perfection.coeffMonoidHomstatement and proof · cited by 24
Cited by3
Results whose statement or proof uses this declaration.
- Perfection.extproof · cited by 7
- Perfection.pthRootMonoidHom_eq_powMulEquiv_symmproof · cited by 2
- Perfection.extMonoid_iffproof · cited by 0