Theorems · Theorem · general topology
ContinuousMap.inv_apply
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] [inst_2 : Inv β]
[inst_3 : ContinuousInv β] (f : C(α, β)) (x : α), f⁻¹ x = (f x)⁻¹- Defined in
- Mathlib.Topology.ContinuousMap.Algebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses no axioms
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousMapstatement and proof · cited by 2,491
- ContinuousInvstatement and proof · cited by 89
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