Theorems · Theorem · order theory
mabs_eq_max_inv
∀ {α : Type u_1} [inst : Group α] [inst_1 : LinearOrder α] {a : α}, |a|ₘ = max a a⁻¹- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- GroupLinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Groupstatement and proof · cited by 6,238
- mabsstatement · cited by 148
Cited by2
Results whose statement or proof uses this declaration.
- mabs_eq_selfproof · cited by 3
- mabs_eq_inv_selfproof · cited by 2