Theorems · Theorem · Lie groups
AddUnits.isOpenMap_map
∀ {M : Type u_1} {N : Type u_2} [inst : TopologicalSpace M] [inst_1 : AddMonoid M] [inst_2 : TopologicalSpace N]
[inst_3 : AddMonoid N] {f : M →+ N}, Function.Injective ⇑f → IsOpenMap ⇑f → IsOpenMap ⇑(AddUnits.map f)- Defined in
- Mathlib.Topology.Algebra.Constructions
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites35
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
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- IsOpenproof · cited by 2,400
- Set.extproof · cited by 2,266
- map_zeroproof · cited by 1,614
- map_addproof · cited by 964
- Set.image_congrproof · cited by 533
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