Theorems · Theorem · Lie groups
Continuous.fun_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 fun i => -f i- Defined in
- Mathlib.Topology.Algebra.Group.Defs
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Continuousstatement · cited by 2,592
- ContinuousNegstatement · cited by 119
- Continuous.negproof · cited by 10
Cited by21
Results whose statement or proof uses this declaration.
- isUniformAddGroup_of_addCommGroupproof · cited by 21
- Complex.continuous_cosproof · cited by 7
- IsClosed.vadd_left_of_isCompactproof · cited by 5
- VectorFourier.hasFDerivAt_fourierIntegralproof · cited by 5
- Complex.continuous_sinproof · cited by 5
- continuous_zsmulproof · cited by 4
- Complex.norm_log_sub_logTaylor_leproof · cited by 4
- DirichletCharacter.LFunctionTrivChar_residue_oneproof · cited by 2
- Complex.continuous_coshproof · cited by 2
- Complex.continuous_sinhproof · cited by 2
- Real.continuous_mulExpNegMulSqproof · cited by 1
- DirichletCharacter.LFunction_changeLevelproof · cited by 1