Theorems · Theorem · Lie groups
ContinuousNeg.continuous_neg
∀ {G : Type u} {inst : TopologicalSpace G} {inst_1 : Neg G} [self : ContinuousNeg G], Continuous fun a => -a- Defined in
- Mathlib.Topology.Algebra.Group.Defs
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- ContinuousNeg
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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 · cited by 2,592
- ContinuousNegstatement and proof · cited by 119
Cited by38
Results whose statement or proof uses this declaration.
- Filter.Tendsto.negproof · cited by 30
- continuous_absproof · cited by 13
- Continuous.negproof · cited by 10
- IsCompact.negproof · cited by 8
- HasSum.negproof · cited by 6
- IsOpen.negproof · cited by 5
- Asymptotics.IsBigOTVS.neg_leftproof · cited by 4
- continuousAt_negproof · cited by 3
- Path.negproof · cited by 3
- Complex.GammaIntegral_convergentproof · cited by 3
- Hyperreal.IsSt.negproof · cited by 2
- continuousWithinAt_negproof · cited by 2