Theorems · Theorem · functional analysis

IsModuleTopology.continuousNeg

∀ (R : Type u_1) [τR : TopologicalSpace R] [inst : Semiring R] (C : Type u_6) [inst_1 : AddCommGroup C]
  [inst_2 : Module R C] [inst_3 : TopologicalSpace C] [IsModuleTopology R C], ContinuousNeg C

Defined in: Mathlib.Topology.Algebra.Module.ModuleTopology
Cited by: 0 results in Mathlib
Foundations: Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace Semiring AddCommGroup Module TopologicalSpace IsModuleTopology

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TopologicalSpacestatement and proof · cited by 24,529
Modulestatement and proof · cited by 20,661
Semiringstatement and proof · cited by 13,802
AddCommGroupstatement and proof · cited by 12,871
ContinuousNegstatement · cited by 119
IsModuleTopologystatement and proof · cited by 28
IsModuleTopology.continuous_negproof · cited by 1

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