Theorems · Theorem · general topology
ContinuousMap.unitsLift_apply_inv_apply
∀ {X : Type u_1} {M : Type u_2} [inst : TopologicalSpace X] [inst_1 : Monoid M] [inst_2 : TopologicalSpace M]
[inst_3 : ContinuousMul M] (f : C(X, Mˣ)) (x : X), ↑(ContinuousMap.unitsLift f)⁻¹ x = ↑(f x)⁻¹- Defined in
- Mathlib.Topology.ContinuousMap.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- Equivstatement · cited by 8,337
- Monoidstatement and proof · cited by 3,887
- Unitsstatement and proof · cited by 2,804
- ContinuousMapstatement and proof · cited by 2,491
- Units.valstatement · cited by 1,966
- ContinuousMulstatement and proof · cited by 343
- ContinuousMap.unitsLiftstatement · cited by 5
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