Theorems · Theorem · order theory
mabs_choice
∀ {α : Type u_1} [inst : Group α] [inst_1 : LinearOrder α] (x : α), |x|ₘ = x ∨ |x|ₘ = x⁻¹- Cited by
- 3 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- GroupLinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- max_choiceproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- eq_or_eq_inv_of_mabs_eqproof · cited by 2
- mabs_mem_iffproof · cited by 1
- mabs_eq_mabsproof · cited by 0