Theorems · Theorem · order theory
zpow_lt_zpow_left
∀ {α : Type u_1} [inst : CommGroup α] [inst_1 : PartialOrder α] [IsOrderedMonoid α] {n : ℤ} {a b : α},
0 < n → a < b → a ^ n < b ^ n- Defined in
- Mathlib.Algebra.Order.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
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- PartialOrderstatement and proof · cited by 6,410
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- zpow_left_strictMonoproof · cited by 3
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