Theorems · Theorem · commutative algebra
Ideal.height_strict_mono_of_isPrime_of_is_prime
Deprecated since 2026-04-02Use Ideal.height_strict_mono_of_isPrime_of_isPrime instead.
∀ {R : Type u_1} [inst : CommRing R] {I J : Ideal R} [I.IsPrime] [J.IsPrime],
I < J → ∀ [J.FiniteHeight], I.height < J.heightAlias of Ideal.height_strict_mono_of_isPrime_of_isPrime.
- Defined in
- Mathlib.RingTheory.Ideal.Height
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
- ENatstatement · cited by 4,985
- Idealstatement · cited by 4,748
- Ideal.IsPrimestatement · cited by 827
- Ideal.heightstatement · cited by 83
- Ideal.FiniteHeightstatement · cited by 18
- Ideal.height_strict_mono_of_isPrime_of_isPrimeproof · cited by 3
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