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] {X : Type u_2} [inst_5 : TopologicalSpace X] {f : X → G}, Continuous f → Continuous fun x => |f x|ₘ

Defined in

Mathlib.Topology.Algebra.Order.Group

Cited by

0 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceCommGroupLinearOrderIsOrderedMonoidOrderTopologyTopologicalSpace