Theorems · Theorem · order theory
mabs_one
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : Group α] [MulLeftMono α], |1|ₘ = 1- Cited by
- 5 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
- le_rflproof · cited by 1,558
- Latticestatement and proof · cited by 916
- MulLeftMonostatement and proof · cited by 410
- mabsstatement · cited by 148
- mabs_of_one_leproof · cited by 11
Cited by5
Results whose statement or proof uses this declaration.
- one_lt_mabsproof · cited by 6
- MulArchimedeanClass.mk_eq_top_iffproof · cited by 3
- mabs_div_le_oneproof · cited by 1
- tendsto_mabs_nhdsNE_oneproof · cited by 0
- Pi.mabs_eq_oneproof · cited by 0