Theorems · Theorem · order theory
pow_abs_two_mul
∀ {α : Type u_1} [inst : Ring α] [inst_1 : LinearOrder α] [IsOrderedRing α] {n : ℕ} (a : α), |a| ^ (2 * n) = a ^ (2 * n)- Defined in
- Mathlib.Algebra.Order.Ring.Abs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingLinearOrderIsOrderedRing
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Ringstatement and proof · cited by 7,463
- absstatement · cited by 1,814
- IsOrderedRingstatement and proof · cited by 777
- two_mulproof · cited by 232
- Even.pow_absproof · cited by 5
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