Theorems · Theorem · Lie groups
ContinuousMap.mulLeft_mul
∀ {X : Type u_6} [inst : Semigroup X] [inst_1 : TopologicalSpace X] [inst_2 : SeparatelyContinuousMul X] (x y : X),
ContinuousMap.mulLeft (x * y) = (ContinuousMap.mulLeft x).comp (ContinuousMap.mulLeft y)- Defined in
- Mathlib.Topology.Algebra.Monoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- ContinuousMapstatement · cited by 2,491
- mul_assocproof · cited by 1,667
- Semigroupstatement and proof · cited by 202
- ContinuousMap.compstatement · cited by 181
- SeparatelyContinuousMulstatement and proof · cited by 133
- ContinuousMap.extproof · cited by 92
- ContinuousMap.mulLeftstatement · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.