Theorems · Theorem · commutative algebra
FractionalIdeal.count_one
∀ {R : Type u_1} [inst : CommRing R] (K : Type u_2) [inst_1 : Field K] [inst_2 : Algebra R K]
[inst_3 : IsFractionRing R K] [inst_4 : IsDedekindDomain R] (v : IsDedekindDomain.HeightOneSpectrum R),
FractionalIdeal.count K v 1 = 0val_v(1) = 0.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Top.topproof · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- Idealproof · cited by 4,748
- Algebra.algebraMapproof · cited by 4,706
- mul_oneproof · cited by 3,885
- sub_selfproof · cited by 996
- nonZeroDivisorsstatement and proof · cited by 895
- one_ne_zeroproof · cited by 885
- IsFractionRingstatement and proof · cited by 738
Cited by4
Results whose statement or proof uses this declaration.
- FractionalIdeal.count_powproof · cited by 2
- FractionalIdeal.count_neg_zpowproof · cited by 2
- FractionalIdeal.count_prodproof · cited by 1
- FractionalIdeal.count_finprod_coprimeproof · cited by 0