Mathlib Map

Theorems · Theorem · Lie groups

ContinuousAt.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 (-f) x
Defined in
Mathlib.Topology.Algebra.Group.Defs
Cited by
6 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceNegContinuousNeg
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ContinuousAt.fun_neg · cited by 5ContinuousAt.fun_negComplex.continuousAt_arg · cited by 3Complex.continuousAt_argHasMFDerivAt.neg · cited by 2HasMFDerivAt.negisLocalMin_of_sign_deriv · cited by 1isLocalMin_of_sign_derivexists_nhds_half_neg · cited by 1exists_nhds_half_negisLocalMax_of_deriv_deriv_neg · cited by 0isLocalMax_of_deriv_deriv…TopologicalSpace · cited by 24529TopologicalSpaceContinuousAt · cited by 697ContinuousAtContinuousNeg · cited by 119ContinuousNegFilter.Tendsto.neg · cited by 30Tendsto.negContinuousAt.negCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.