Theorems · Theorem · Lie groups
Continuous.units_map
∀ {M : Type u_3} {N : Type u_4} [inst : Monoid M] [inst_1 : Monoid N] [inst_2 : TopologicalSpace M]
[inst_3 : TopologicalSpace N] (f : M →* N), Continuous ⇑f → Continuous ⇑(Units.map f)- Defined in
- Mathlib.Topology.Algebra.Monoid
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- Unitsstatement · cited by 2,804
- Continuousstatement and proof · cited by 2,592
- Continuous.compproof · cited by 371
- Units.mapstatement · cited by 95
- Units.continuous_valproof · cited by 8
- Units.continuous_coe_invproof · cited by 4
- Units.continuous_iffproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Continuous.generalLinearGroup_mapproof · cited by 0