Theorems · Theorem · Lie groups
continuous_add_const
∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : Add M] [SeparatelyContinuousAdd M] (m : M),
Continuous fun x => x + m- Defined in
- Mathlib.Topology.Algebra.Monoid.Defs
- Cited by
- 14 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_add_constproof · cited by 1
Cited by15
Results whose statement or proof uses this declaration.
- Continuous.add_constproof · cited by 11
- Filter.Tendsto.add_constproof · cited by 10
- ContinuousMap.addRightproof · cited by 8
- MeasureTheory.Measure.addModularCharacterFun_eq_addHaarScalarFactorproof · cited by 3
- IsMIntegralCurveOn.comp_addproof · cited by 3
- Complex.tendsto_self_mul_Gamma_nhds_zeroproof · cited by 2
- IsTopologicalAddGroup.continuous_addConjproof · cited by 2
- limsup_add_constproof · cited by 2
- AddSubmonoid.top_closure_add_self_subsetproof · cited by 1
- LipschitzWith.integral_lineDeriv_mul_eqproof · cited by 1
- liminf_add_constproof · cited by 1
- continuous_add_rightproof · cited by 0