Theorems · Theorem · commutative algebra
Int.absNorm_under_eq_sInf
∀ {R : Type u_1} [inst : Ring R] (I : Ideal R), Ideal.absNorm (Ideal.under ℤ I) = sInf {d | 0 < d ∧ ↑d ∈ I}- Defined in
- Mathlib.RingTheory.Ideal.Int
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- Ringstatement and proof · cited by 7,463
- Set.ofPredstatement and proof · cited by 6,101
- Idealstatement and proof · cited by 4,748
- le_antisymmproof · cited by 2,068
- InfSet.sInfstatement and proof · cited by 935
- MonoidWithZeroHomstatement · cited by 704
- Int.cast_natCastproof · cited by 393
- Ideal.understatement and proof · cited by 170
- Ideal.absNormstatement and proof · cited by 123
- lt_iff_not_geproof · cited by 22
Cited by2
Results whose statement or proof uses this declaration.
- RingOfIntegers.exponent_eq_sInfproof · cited by 0
- Int.absNorm_under_dvd_absNormproof · cited by 0