Theorems · Theorem · order theory
zpow_left_mono
∀ (α : Type u_1) [inst : CommGroup α] [inst_1 : PartialOrder α] [IsOrderedMonoid α] {n : ℤ},
0 ≤ n → Monotone fun x => x ^ n- Defined in
- Mathlib.Algebra.Order.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- Monotonestatement · cited by 1,397
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- div_zpowproof · cited by 4
- one_le_div'proof · cited by 4
- one_le_zpowproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- zpow_le_zpow_leftproof · cited by 0