Theorems · Theorem · order theory
Odd.pow_lt_pow
∀ {R : Type u_3} [inst : Semiring R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] [ExistsAddOfLE R] {n : ℕ},
Odd n → ∀ {a b : R}, a ^ n < b ^ n ↔ a < b- Defined in
- Mathlib.Algebra.Order.Ring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, 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.
- Semiringstatement and proof · cited by 13,802
- LinearOrderstatement and proof · cited by 8,572
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Oddstatement and proof · cited by 364
- ExistsAddOfLEstatement and proof · cited by 330
- StrictMono.lt_iff_ltproof · cited by 86
- Odd.strictMono_powproof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.