Theorems · Theorem · general topology
JoinedIn.neg
∀ {G : Type u_4} [inst : InvolutiveNeg G] [inst_1 : TopologicalSpace G] [ContinuousNeg G] {s : Set G} {a b : G},
JoinedIn s a b → JoinedIn (-s) (-a) (-b)- Defined in
- Mathlib.Topology.Connected.PathConnected
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- Set.Elemproof · cited by 7,166
- unitIntervalproof · cited by 607
- Set.negstatement · cited by 168
- InvolutiveNegstatement and proof · cited by 151
- ContinuousNegstatement and proof · cited by 119
- JoinedInstatement and proof · cited by 40
- JoinedIn.somePathproof · cited by 12
- Set.neg_mem_negproof · cited by 10
- JoinedIn.somePath_memproof · cited by 7
- Path.negproof · cited by 3
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