Theorems · Theorem · order theory
le_mabs
∀ {α : Type u_1} [inst : Group α] [inst_1 : LinearOrder α] {a b : α}, a ≤ |b|ₘ ↔ a ≤ b ∨ a ≤ b⁻¹- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- 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
- le_max_iffproof · cited by 26
Cited by1
Results whose statement or proof uses this declaration.
- le_mabs'proof · cited by 1