Theorems · Theorem · commutative algebra
Ideal.IsPrimary.comap
∀ {R : Type u_1} {S : Type u_2} [inst : CommSemiring R] [inst_1 : CommSemiring S] {I : Ideal S},
I.IsPrimary → ∀ (φ : R →+* S), (Ideal.comap φ I).IsPrimary- Defined in
- Mathlib.RingTheory.Ideal.IsPrimary
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringCommSemiring
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Cites10
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
- Idealstatement and proof · cited by 4,748
- map_mulproof · cited by 1,137
- Ideal.comapstatement · cited by 443
- Ideal.radicalproof · cited by 121
- Ideal.IsPrimarystatement and proof · cited by 13
- Ideal.comap_ne_topproof · cited by 7
- Ideal.isPrimary_iffproof · cited by 4
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