Theorems · Theorem · commutative algebra
PerfectionMap.comp_equiv
∀ {p : ℕ} [inst : Fact (Nat.Prime p)] {R : Type u₁} [inst_1 : CommSemiring R] [inst_2 : CharP R p] {P : Type u₃}
[inst_3 : CommSemiring P] [inst_4 : CharP P p] [inst_5 : PerfectRing P p] {π : P →+* R} (m : PerfectionMap p π)
(x : P), (Perfection.coeff R p 0) (m.equiv x) = π x- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- RingEquivstatement · cited by 1,147
- CharPstatement and proof · cited by 478
- PerfectRingstatement and proof · cited by 154
- Perfectionstatement · cited by 84
- Perfection.coeffstatement · cited by 51
- PerfectionMapstatement and proof · cited by 16
- PerfectionMap.equivstatement · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- PerfectionMap.comp_symm_equivproof · cited by 1