Theorems · Theorem · Lie groups
Inseparable.smul
∀ {M : Type u_1} {X : Type u_2} [inst : TopologicalSpace M] [inst_1 : TopologicalSpace X] [inst_2 : SMul M X]
[ContinuousSMul M X] {a b : M} {x y : X}, Inseparable a b → Inseparable x y → Inseparable (a • x) (b • y)- Defined in
- Mathlib.Topology.Algebra.MulAction
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 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 and proof · cited by 24,529
- ContinuousSMulstatement and proof · cited by 1,016
- Inseparablestatement and proof · cited by 160
- ContinuousSMul.continuous_smulproof · cited by 21
- Inseparable.mapproof · cited by 15
- Inseparable.prodproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Inseparable.mulproof · cited by 0