Theorems · Theorem · Lie groups
continuousWithinAt_neg
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Neg G] [ContinuousNeg G] {s : Set G} {x : G},
ContinuousWithinAt Neg.neg s x- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousWithinAtstatement · cited by 512
- ContinuousNegstatement and proof · cited by 119
- Continuous.continuousWithinAtproof · cited by 54
- ContinuousNeg.continuous_negproof · cited by 37
Cited by2
Results whose statement or proof uses this declaration.
- Complex.continuousWithinAt_arg_of_re_neg_of_im_zeroproof · cited by 2
- Complex.tendsto_arg_nhdsWithin_im_neg_of_re_neg_of_im_zeroproof · cited by 1