Theorems · Theorem · Lie groups
continuous_mabs
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : CommGroup G] [inst_2 : LinearOrder G] [IsOrderedMonoid G]
[OrderTopology G], Continuous mabs- Defined in
- Mathlib.Topology.Algebra.Order.Group
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- LinearOrderstatement and proof · cited by 8,572
- Continuousstatement · cited by 2,592
- OrderTopologystatement and proof · cited by 1,355
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- continuous_idproof · cited by 192
- mabsstatement · cited by 148
- ContinuousInv.continuous_invproof · cited by 27
- Continuous.maxproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- Filter.Tendsto.mabsproof · cited by 2
- Continuous.mabsproof · cited by 0
- tendsto_mabs_nhdsNE_oneproof · cited by 0