Theorems · Theorem · Lie groups
isOpenMap_add_left
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [SeparatelyContinuousAdd G] (a : G),
IsOpenMap fun x => a + x- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- AddGroupstatement and proof · cited by 4,410
- IsOpenMapstatement · cited by 253
- SeparatelyContinuousAddstatement and proof · cited by 83
- Homeomorph.isOpenMapproof · cited by 30
- Homeomorph.addLeftproof · cited by 20
Cited by4
Results whose statement or proof uses this declaration.
- tangentConeAt_closureproof · cited by 4
- StrictConvex.addproof · cited by 2
- closure_subset_add_right_of_mem_nhds_zero_of_negproof · cited by 1
- IsOpen.left_addCosetproof · cited by 1