Theorems · Theorem · order theory
inv_le_mabs
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : Group α] (a : α), a⁻¹ ≤ |a|ₘ- Cited by
- 4 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
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.
- Groupstatement and proof · cited by 6,238
- Latticestatement and proof · cited by 916
- le_sup_rightproof · cited by 242
- mabsstatement · cited by 148
Cited by4
Results whose statement or proof uses this declaration.
- mabs_mul_leproof · cited by 7
- mabs_le_max_mabs_mabsproof · cited by 1
- Filter.tendsto_mabs_atBot_atTopproof · cited by 1
- one_le_mul_mabsproof · cited by 0