Theorems · Inductive type · Lie groups
SeparatelyContinuousMul
(M : Type u_1) → [TopologicalSpace M] → [Mul M] → Prop
A type class encoding that addition is continuous in each argument. This is weaker than
ContinuousMul.
- Defined in
- Mathlib.Topology.Algebra.Monoid.Defs
- Cited by
- 133 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
- Assumes
- TopologicalSpaceMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
Cited by148
Results whose statement or proof uses this declaration.
- Filter.Tendsto.const_mulstatement and proof · cited by 55
- continuous_const_mulstatement and proof · cited by 47
- continuous_mul_conststatement and proof · cited by 30
- Continuous.const_mulstatement and proof · cited by 27
- Filter.Tendsto.mul_conststatement and proof · cited by 23
- Continuous.div_conststatement and proof · cited by 21
- ContinuousOn.const_mulstatement and proof · cited by 17
- Continuous.mul_conststatement and proof · cited by 15
- Homeomorph.mulLeftstatement and proof · cited by 14
- Homeomorph.mulRightstatement and proof · cited by 13
- CFC.conjSqrtstatement and proof · cited by 13
- Filter.Tendsto.div_conststatement and proof · cited by 12