Theorems · Theorem · Lie groups
Topology.IsInducing.continuousNeg
∀ {G : Type u_1} {H : Type u_2} [inst : Neg G] [inst_1 : Neg H] [inst_2 : TopologicalSpace G]
[inst_3 : TopologicalSpace H] [ContinuousNeg H] {f : G → H},
Topology.IsInducing f → (∀ (x : G), f (-x) = -f x) → ContinuousNeg G- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Continuousproof · cited by 2,592
- Topology.IsInducingstatement and proof · cited by 266
- ContinuousNegstatement and proof · cited by 119
- Topology.IsInducing.continuousproof · cited by 48
- Topology.IsInducing.continuous_iffproof · cited by 34
- Continuous.fun_negproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- Topology.IsInducing.topologicalAddGroupproof · cited by 2