Theorems · Theorem · commutative algebra
IsPrecomplete.congr_ringEquiv
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] (I : Ideal R) (e : R ≃+* S),
IsPrecomplete (Ideal.map e I) S ↔ IsPrecomplete I R- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Idealstatement and proof · cited by 4,748
- CompleteSpaceproof · cited by 2,532
- RingEquivstatement and proof · cited by 1,147
- Ideal.mapstatement and proof · cited by 692
- IsPrecompletestatement and proof · cited by 29
- completeSpace_congrproof · cited by 5
- UniformEquiv.isUniformEmbeddingproof · cited by 5
- WithIdealproof · cited by 5
- WithIdeal.uniformEquivproof · cited by 3
- IsAdic.isPrecomplete_iffproof · cited by 2
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