Theorems · Theorem · commutative algebra
Perfection.hom_ext
∀ (p : ℕ) [hp : Fact (Nat.Prime p)] {R : Type u₁} [inst : CommSemiring R] [CharP R p] [PerfectRing R p] {S : Type u₂}
[inst_3 : CommSemiring S] [inst_4 : CharP S p] {f g : R →+* Perfection S p},
(∀ (x : R), (Perfection.coeff S p 0) (f x) = (Perfection.coeff S p 0) (g x)) → f = g- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- Equiv.symmproof · cited by 3,681
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- CharPstatement and proof · cited by 478
- Equiv.injectiveproof · cited by 464
- RingHom.extproof · cited by 331
- PerfectRingstatement and proof · cited by 154
- Perfectionstatement and proof · cited by 84
- Perfection.coeffstatement and proof · cited by 51
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.