Theorems · Theorem · commutative algebra
RingEquiv.height_comap
∀ {R : Type u_1} [inst : CommRing R] {S : Type u_2} [inst_1 : CommRing S] (e : R ≃+* S) (I : Ideal S),
(Ideal.comap e I).height = I.height- Defined in
- Mathlib.RingTheory.Ideal.Height
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- ENatstatement · cited by 4,985
- Idealstatement and proof · cited by 4,748
- RingEquivstatement and proof · cited by 1,147
- Ideal.IsPrimeproof · cited by 827
- Ideal.comapstatement and proof · cited by 443
- EquivLike.toEquivproof · cited by 125
- Ideal.heightstatement and proof · cited by 83
- Ideal.minimalPrimesproof · cited by 74
- Function.Injective.mem_set_imageproof · cited by 53
Cited by1
Results whose statement or proof uses this declaration.
- RingEquiv.height_mapproof · cited by 0