Theorems · Theorem · Lie groups
Continuous.mul_const
∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : Mul M] [SeparatelyContinuousMul M] {X : Type u_2}
[inst_3 : TopologicalSpace X] {f : X → M}, Continuous f → ∀ (b : M), Continuous fun x => f x * b- Defined in
- Mathlib.Topology.Algebra.Monoid.Defs
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Continuousstatement and proof · cited by 2,592
- Continuous.compproof · cited by 371
- SeparatelyContinuousMulstatement and proof · cited by 133
- continuous_mul_constproof · cited by 30
Cited by15
Results whose statement or proof uses this declaration.
- Continuous.div_constproof · cited by 21
- Subgroup.isOpen_of_mem_nhdsproof · cited by 3
- Real.qaryEntropy_continuousproof · cited by 3
- Commute.cfcHomproof · cited by 2
- Commute.cfcₙHomproof · cited by 2
- Real.circleMap.continuousproof · cited by 2
- Valued.continuous_extensionproof · cited by 2
- TorusIntegrable.function_integrableproof · cited by 2
- WeakBilin.continuous_of_continuous_eval_reproof · cited by 1
- Complex.continuous_circleTransformproof · cited by 1
- MonoidHom.isOpenQuotientMap_of_isQuotientMapproof · cited by 1