Theorems · Theorem · Lie groups
Continuous.vadd
∀ {M : Type u_1} {X : Type u_2} {Y : Type u_3} [inst : TopologicalSpace M] [inst_1 : TopologicalSpace X]
[inst_2 : TopologicalSpace Y] [inst_3 : VAdd M X] [ContinuousVAdd M X] {f : Y → M} {g : Y → X},
Continuous f → Continuous g → Continuous (f +ᵥ g)- Defined in
- Mathlib.Topology.Algebra.MulAction
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- HVAdd.hVAddstatement · cited by 1,820
- VAddstatement and proof · cited by 616
- Continuous.compproof · cited by 371
- Continuous.prodMkproof · cited by 127
- ContinuousVAddstatement and proof · cited by 52
- ContinuousVAdd.continuous_vaddproof · cited by 13
Cited by6
Results whose statement or proof uses this declaration.
- Continuous.fun_vaddproof · cited by 9
- AffineSubspace.isConnected_setOfPred_sSameSideproof · cited by 3
- AffineSubspace.isConnected_setOfPred_sOppSideproof · cited by 2
- AffineSubspace.isConnected_setOfPred_wOppSideproof · cited by 2
- AffineSubspace.isConnected_setOfPred_wSameSideproof · cited by 2
- AddAction.continuousVAdd_compHomproof · cited by 1