Theorems · Theorem · commutative algebra
PerfectionMap.map_eq_map
∀ (p : ℕ) [inst : Fact (Nat.Prime p)] {R : Type u₁} [inst_1 : CommSemiring R] [inst_2 : CharP R p] {S : Type u₂}
[inst_3 : CommSemiring S] [inst_4 : CharP S p] (φ : R →+* S), PerfectionMap.map p ⋯ ⋯ φ = Perfection.map p φ- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- CharPstatement and proof · cited by 478
- Perfectionstatement and proof · cited by 84
- Perfection.coeffstatement and proof · cited by 51
- PerfectionMap.mapstatement · cited by 3
- Perfection.mapstatement and proof · cited by 2
- Perfection.coeff_mapproof · cited by 1
- PerfectionMap.hom_extproof · cited by 1
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