Theorems · Theorem · Lie groups
continuousSMul_sInf
∀ {M : Type u_2} {X : Type u_3} [inst : TopologicalSpace M] [inst_1 : SMul M X] {ts : Set (TopologicalSpace X)},
(∀ t ∈ ts, ContinuousSMul M X) → ContinuousSMul M X- Defined in
- Mathlib.Topology.Algebra.MulAction
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceSMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Continuousproof · cited by 2,592
- ContinuousSMulstatement and proof · cited by 1,016
- InfSet.sInfstatement and proof · cited by 935
- ContinuousSMul.continuous_smulproof · cited by 21
- continuous_sInf_rngproof · cited by 9
- sInf_singletonproof · cited by 8
- continuous_sInf_dom₂proof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- continuousSMul_iInfproof · cited by 3
- ModuleTopology.continuousSMulproof · cited by 0