Theorems · Theorem · Lie groups
Continuous.fun_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 fun i => f i +ᵥ g i- Defined in
- Mathlib.Topology.Algebra.MulAction
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Continuousstatement · cited by 2,592
- HVAdd.hVAddstatement · cited by 1,820
- VAddstatement · cited by 616
- ContinuousVAddstatement · cited by 52
- Continuous.vaddproof · cited by 6
Cited by9
Results whose statement or proof uses this declaration.
- AffineMap.lineMap_continuous_uncurryproof · cited by 5
- IsClosed.vadd_left_of_isCompactproof · cited by 5
- AffineMap.homothety_continuousproof · cited by 2
- AddAction.properVAdd_iff_isCompact_setOfPred_inter_nonemptyproof · cited by 2
- vadd_singleton_mem_nhds_of_sigmaCompactproof · cited by 1
- Convex.smul_vadd_mem_of_mem_nhds_of_mem_asymptoticConeproof · cited by 0
- properVAdd_iff_continuousVAdd_ultrafilter_tendstoproof · cited by 0
- Topology.IsInducing.continuousVAddproof · cited by 0
- AddAction.properVAdd_of_proper_orbitMapproof · cited by 0