Theorems · Theorem · Lie groups
Continuous.const_add
∀ {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 => b + f x- Defined in
- Mathlib.Topology.Algebra.Monoid.Defs
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 and proof · cited by 2,592
- Continuous.compproof · cited by 371
- SeparatelyContinuousAddstatement and proof · cited by 83
- continuous_const_addproof · cited by 23
Cited by26
Results whose statement or proof uses this declaration.
- compact_covered_by_add_left_translatesproof · cited by 4
- ApproximatesLinearOn.norm_fderiv_sub_leproof · cited by 3
- Filter.EventuallyEq.hasLineDerivWithinAt_iffproof · cited by 3
- Real.circleMap.continuousproof · cited by 2
- SchwartzMap.eLpNorm_le_seminormproof · cited by 2
- Filter.EventuallyEq.hasLineDerivAt_iffproof · cited by 2
- IsLocalExtr.hasLineDerivAt_eq_zeroproof · cited by 2
- IsLocalExtr.lineDeriv_eq_zeroproof · cited by 2
- ContinuousLinearMap.isOpenMap_of_ne_zeroproof · cited by 2
- AnalyticAt.eventually_constant_or_nhds_le_map_nhdsproof · cited by 1
- HasLineDerivWithinAt.hasLineDerivAtproof · cited by 1