Theorems · Theorem · functional analysis
IsModuleTopology.continuous_neg
∀ (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], Continuous fun a => -a
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommGroupstatement and proof · cited by 12,871
- Continuousstatement · cited by 2,592
- LinearEquiv.toLinearMapproof · cited by 1,171
- IsModuleTopologystatement and proof · cited by 28
- IsModuleTopology.continuous_of_linearMapproof · cited by 7
- LinearEquiv.negproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- IsModuleTopology.continuousNegproof · cited by 0