Theorems · Theorem · commutative algebra
Int.ideal_span_absNorm_eq_self
∀ (J : Ideal ℤ), Ideal.span {↑(Ideal.absNorm J)} = J- Defined in
- Mathlib.RingTheory.Ideal.Norm.AbsNorm
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Setstatement · cited by 53,352
- Idealstatement and proof · cited by 4,748
- Submodule.spanproof · cited by 1,504
- Ideal.spanstatement and proof · cited by 948
- MonoidWithZeroHomstatement · cited by 704
- Ideal.absNormstatement · cited by 123
- Int.cast_absproof · cited by 54
- MonoidHom.id_applyproof · cited by 33
- Nat.cast_natAbsproof · cited by 30
- Ideal.absNorm_span_singletonproof · cited by 18
- Submodule.IsPrincipal.casesOnproof · cited by 15
Cited by4
Results whose statement or proof uses this declaration.
- RingOfIntegers.not_dvd_exponent_iffproof · cited by 4
- Int.cast_mem_ideal_iffproof · cited by 3
- Nat.absNorm_under_primeproof · cited by 0
- Ideal.relNorm_intproof · cited by 0