Theorems · Theorem · group theory
AddAction.map_stabilizer_le
∀ {G : Type u_1} {H : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup H] (f : G →+ H) (s : Set G),
AddSubgroup.map f (AddAction.stabilizer G s) ≤ AddAction.stabilizer H (⇑f '' s)- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- Setstatement and proof · cited by 53,352
- Set.imagestatement and proof · cited by 5,609
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- HVAdd.hVAddproof · cited by 1,820
- AddSubgroup.mapstatement · cited by 189
- AddAction.stabilizerstatement · cited by 112
- Set.addActionSetstatement · cited by 39
- AddAction.mem_stabilizer_iffproof · cited by 27
- AddSubgroup.mem_mapproof · cited by 15
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