Theorems · Theorem · Lie groups
ContinuousAt.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} {x : X}, ContinuousAt f x → ContinuousAt (fun i => -f i) x- Defined in
- Mathlib.Topology.Algebra.Group.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Quot.sound
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
- ContinuousAtstatement · cited by 697
- ContinuousNegstatement · cited by 119
- ContinuousAt.negproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- Chebyshev.primeCounting_eq_theta_div_log_add_integralproof · cited by 2
- continuousAt_gaussian_integralproof · cited by 1
- Complex.continuousAt_ofReal_cpowproof · cited by 1
- Complex.Gammaℝ_residue_zeroproof · cited by 1
- mellinInv_mellin_eqproof · cited by 0