Theorems · Theorem · Lie groups
isClosed_setOf_map_neg
Deprecated since 2026-07-09Use isClosed_setOfPred_map_neg instead.
∀ (G₁ : Type u_2) (G₂ : Type u_3) [inst : TopologicalSpace G₂] [T2Space G₂] [inst_2 : Neg G₁] [inst_3 : Neg G₂]
[ContinuousNeg G₂], IsClosed {f | ∀ (x : G₁), f (-x) = -f x}Alias of isClosed_setOfPred_map_neg.
- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Set.ofPredstatement · cited by 6,101
- IsClosedstatement · cited by 1,639
- T2Spacestatement · cited by 1,351
- ContinuousNegstatement · cited by 119
- isClosed_setOfPred_map_negproof · cited by 1
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