Theorems · Theorem · order theory

even_abs

∀ {α : Type u_1} [inst : AddGroup α] [inst_1 : LinearOrder α] {a : α}, Even |a| ↔ Even a

Defined in: Mathlib.Algebra.Order.Group.Unbundled.Abs
Cited by: 0 results in Mathlib
Foundations: Depth 21 from the axioms · uses propext, Quot.sound
Assumes: AddGroup LinearOrder

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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
AddGroupstatement and proof · cited by 4,410
absstatement · cited by 1,814
Evenstatement and proof · cited by 444
even_negproof · cited by 4
abs_by_casesproof · cited by 3

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