Theorems · Theorem · Lie groups
Continuous.neg
∀ {G : Type u_1} {X : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace G] [inst_2 : Neg G]
[ContinuousNeg G] {f : X → G}, Continuous f → Continuous (-f)- Defined in
- Mathlib.Topology.Algebra.Group.Defs
- Cited by
- 10 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
- ContinuousNegstatement and proof · cited by 119
- ContinuousNeg.continuous_negproof · cited by 37
Cited by10
Results whose statement or proof uses this declaration.
- Continuous.fun_negproof · cited by 21
- VectorFourier.fourierIntegral_convergent_iffproof · cited by 9
- VectorFourier.integral_fourierIntegral_swapproof · cited by 2
- StrictConvex.negproof · cited by 1
- Real.tendsto_integral_gaussian_smulproof · cited by 1
- isClosed_setOfPred_map_negproof · cited by 1
- MeasureTheory.continuous_integral_apply_neg_addproof · cited by 1
- Polynomial.Chebyshev.intervalIntegrable_sqrt_one_sub_sq_invproof · cited by 1
- map_add_eq_sum_add_integral_iteratedFDerivproof · cited by 0