Theorems · Theorem · ring theory
NNRat.addSubmonoid_closure_range_pow
∀ {n : ℕ}, n ≠ 0 → AddSubmonoid.closure (Set.range fun x => x ^ n) = ⊤- Defined in
- Mathlib.Data.Rat.Star
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Set.rangestatement and proof · cited by 4,705
- one_mulproof · cited by 2,841
- mul_assocproof · cited by 1,667
- LT.lt.ne'proof · cited by 1,417
- AddSubmonoidstatement · cited by 1,178
- pow_oneproof · cited by 894
- div_eq_mul_invproof · cited by 715
- NNRatstatement and proof · cited by 523
- one_powproof · cited by 521
- nsmul_eq_mulproof · cited by 369
- Set.mem_range_selfproof · cited by 328
Cited by2
Results whose statement or proof uses this declaration.
- Rat.addSubmonoid_closure_range_powproof · cited by 1
- NNRat.addSubmonoid_closure_range_mul_selfproof · cited by 0