Theorems · Theorem · Lie groups
continuous_add
∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : Add M] [ContinuousAdd M], Continuous fun p => p.1 + p.2- Defined in
- Mathlib.Topology.Algebra.Monoid.Defs
- Cited by
- 47 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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
- ContinuousAddstatement and proof · cited by 777
- ContinuousAdd.continuous_addproof · cited by 3
Cited by48
Results whose statement or proof uses this declaration.
- Filter.Tendsto.addproof · cited by 102
- Continuous.addproof · cited by 32
- isUniformAddGroup_of_addCommGroupproof · cited by 21
- Complex.continuous_cosproof · cited by 7
- IsCompact.addproof · cited by 6
- MeasureTheory.AEEqFun.coeFn_addproof · cited by 6
- Path.addproof · cited by 5
- TotallyBounded.isVonNBoundedproof · cited by 4
- Complex.tsum_exp_neg_quadraticproof · cited by 3
- Hyperreal.IsSt.addproof · cited by 3
- Real.qaryEntropy_continuousproof · cited by 3
- ApproximatesLinearOn.norm_fderiv_sub_leproof · cited by 3