Theorems · Theorem · commutative algebra
Algebra.natDenominator_def
∀ {S : Type u_2} [inst : CommRing S] (x : S), Algebra.natDenominator x = (Algebra.denominator ℤ x).natAbs- Defined in
- Mathlib.RingTheory.Algebraic.Denominator
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebra.denominatorstatement · cited by 5
- Algebra.natDenominatorstatement and proof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Algebra.natDenominator_dvd_iffproof · cited by 1
- IsAlgebraic.natDenominator_ne_zeroproof · cited by 0