Theorems · Theorem · order theory
Int.addSubmonoid_closure_range_pow
∀ {n : ℕ}, Even n → AddSubmonoid.closure (Set.range fun x => x ^ n) = AddSubmonoid.nonneg ℤ- Defined in
- Mathlib.Data.Int.Star
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.rangestatement and proof · cited by 4,705
- mul_oneproof · cited by 3,885
- le_antisymmproof · cited by 2,068
- absproof · cited by 1,814
- AddSubmonoidstatement · cited by 1,178
- one_powproof · cited by 521
- Evenstatement and proof · cited by 444
- Set.mem_range_selfproof · cited by 328
- AddSubmonoid.closurestatement and proof · cited by 224
- Set.range_subset_iffproof · cited by 99
- Even.pow_nonnegproof · cited by 94
- AddSubmonoid.subset_closureproof · cited by 63
Cited by1
Results whose statement or proof uses this declaration.
- Int.addSubmonoid_closure_range_mul_selfproof · cited by 0