Theorems · Theorem · Lie groups
continuous_const_add
∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : Add M] [SeparatelyContinuousAdd M] (m : M),
Continuous fun x => m + x- Defined in
- Mathlib.Topology.Algebra.Monoid.Defs
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Continuousstatement · cited by 2,592
- SeparatelyContinuousAddstatement and proof · cited by 83
- SeparatelyContinuousAdd.continuous_const_addproof · cited by 1
Cited by24
Results whose statement or proof uses this declaration.
- Continuous.const_addproof · cited by 26
- Filter.Tendsto.const_addproof · cited by 12
- IsTopologicalAddGroup.continuous_addConjproof · cited by 2
- ContinuousMap.addLeftproof · cited by 2
- disjoint_interior_extremePointsproof · cited by 2
- tangentConeAt_mono_nhdsproof · cited by 2
- PeriodPair.not_continuousAt_weierstrassPproof · cited by 1
- MeasureTheory.Content.innerContent_pos_of_is_add_left_invariantstatement and proof · cited by 1
- MeasureTheory.Measure.haar.is_left_invariant_addCHaarstatement and proof · cited by 1
- MeasureTheory.Content.is_add_left_invariant_innerContentstatement and proof · cited by 1
- MeasureTheory.Measure.haar.is_left_invariant_addPrehaarstatement · cited by 1
- MeasureTheory.Measure.haar.is_left_invariant_addIndexproof · cited by 1