Theorems · Theorem · Lie groups
IsScalarTower.continuousSMul
∀ {M : Type u_5} (N : Type u_6) {α : Type u_7} [inst : Monoid N] [inst_1 : SMul M N] [inst_2 : MulAction N α]
[inst_3 : SMul M α] [IsScalarTower M N α] [inst_5 : TopologicalSpace M] [inst_6 : TopologicalSpace N]
[inst_7 : TopologicalSpace α] [ContinuousSMul M N] [ContinuousSMul N α], ContinuousSMul M α- Defined in
- Mathlib.Topology.Algebra.MulAction
- Cited by
- 8 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.
Cites15
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
- IsScalarTowerstatement and proof · cited by 3,896
- Monoidstatement and proof · cited by 3,887
- Continuousproof · cited by 2,592
- one_smulproof · cited by 1,374
- MulActionstatement and proof · cited by 1,294
- ContinuousSMulstatement and proof · cited by 1,016
- continuous_id'proof · cited by 295
- continuous_constproof · cited by 278
- Continuous.comp'proof · cited by 184
- smul_assocproof · cited by 150
- Continuous.prodMkproof · cited by 127
Cited by8
Results whose statement or proof uses this declaration.
- RCLike.geometric_hahn_banach_compact_closedproof · cited by 3
- Convex.toWeakSpace_closureproof · cited by 2
- RCLike.geometric_hahn_banach_of_nonempty_interiorproof · cited by 1
- RCLike.geometric_hahn_banach_open_pointproof · cited by 1
- RCLike.geometric_hahn_banach_of_nonempty_interior_pointproof · cited by 0
- RCLike.geometric_hahn_banach_openproof · cited by 0
- RCLike.geometric_hahn_banach_open_openproof · cited by 0
- RCLike.separate_convex_open_setproof · cited by 0