Theorems · Theorem · Lie groups

Continuous.add_const

∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : Add M] [SeparatelyContinuousAdd M] {X : Type u_2}
  [inst_3 : TopologicalSpace X] {f : X → M}, Continuous f → ∀ (b : M), Continuous fun x => f x + b

Defined in

Mathlib.Topology.Algebra.Monoid.Defs

Cited by

11 results in Mathlib

Foundations

Depth 8 from the axioms · uses no axioms

Assumes

TopologicalSpaceAddSeparatelyContinuousAddTopologicalSpace