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Theorems · Theorem · order theory

Even.pow_abs

∀ {α : Type u_1} [inst : Ring α] [inst_1 : LinearOrder α] [IsOrderedRing α] {n : ℕ}, Even n → ∀ (a : α), |a| ^ n = a ^ n
Defined in
Mathlib.Algebra.Order.Ring.Abs
Cited by
5 results in Mathlib
Foundations
Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RingLinearOrderIsOrderedRing

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