Theorems · Theorem · commutative algebra
RingEquiv.height_map
∀ {R : Type u_1} [inst : CommRing R] {S : Type u_2} [inst_1 : CommRing S] (e : R ≃+* S) (I : Ideal R),
(Ideal.map e I).height = I.height- Defined in
- Mathlib.RingTheory.Ideal.Height
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- ENatstatement and proof · cited by 4,985
- Idealstatement and proof · cited by 4,748
- RingEquivstatement and proof · cited by 1,147
- Ideal.mapstatement · cited by 692
- RingEquiv.symmproof · cited by 567
- Ideal.heightstatement and proof · cited by 83
- Ideal.comap_symmproof · cited by 12
- RingEquiv.height_comapproof · cited by 1
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