Theorems · Theorem · Lie groups

Continuous.fun_mul

∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : Mul M] [ContinuousMul M] {X : Type u_2}
  [inst_3 : TopologicalSpace X] {f g : X → M}, Continuous f → Continuous g → Continuous fun i => f i * g i

Eta-expanded form of Continuous.mul

Defined in

Mathlib.Topology.Algebra.Monoid.Defs

Cited by

4 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceMulContinuousMulTopologicalSpace