Theorems · Theorem · Lie groups
isClosed_setOfPred_map_neg
∀ (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}- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Set.ofPredstatement · cited by 6,101
- IsClosedstatement and proof · cited by 1,639
- T2Spacestatement and proof · cited by 1,351
- continuous_applyproof · cited by 120
- ContinuousNegstatement and proof · cited by 119
- isClosed_eqproof · cited by 71
- Set.ofPred_forallproof · cited by 48
- isClosed_iInterproof · cited by 43
- Continuous.negproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- isClosed_setOf_map_negproof · cited by 0