Theorems · Theorem · order theory
mabs_le_one
∀ {α : Type u_1} [inst : Group α] [inst_1 : LinearOrder α] [MulLeftMono α] {a : α} [MulRightMono α], |a|ₘ ≤ 1 ↔ a = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- MulLeftMonostatement and proof · cited by 410
- MulRightMonostatement and proof · cited by 263
- mabsstatement · cited by 148
- LE.le.ge_iff_eq'proof · cited by 50
- one_le_mabsproof · cited by 11
- mabs_eq_oneproof · cited by 2
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