Theorems · Theorem · order theory
mabs_of_lt_one
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : Group α] {a : α} [MulLeftMono α], a < 1 → |a|ₘ = a⁻¹- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- LatticeGroupMulLeftMono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- LT.lt.leproof · cited by 2,189
- Latticestatement and proof · cited by 916
- MulLeftMonostatement and proof · cited by 410
- mabsstatement · cited by 148
- mabs_of_le_oneproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- one_lt_mabsproof · cited by 6
- multipliable_mabs_iffproof · cited by 0