Theorems · Theorem · group theory
MulAction.orbitRel.Quotient.mapsTo_smul_orbit
∀ {G : Type u_1} {α : Type u_2} [inst : Group G] [inst_1 : MulAction G α] (g : G) (x : MulAction.orbitRel.Quotient G α),
Set.MapsTo (fun x => g • x) x.orbit x.orbit- Defined in
- Mathlib.GroupTheory.GroupAction.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setproof · cited by 53,352
- Groupstatement and proof · cited by 6,238
- MulActionstatement and proof · cited by 1,294
- Set.MapsTostatement and proof · cited by 732
- Quotient.outproof · cited by 141
- Quotient.out_eq'proof · cited by 35
- MulAction.orbitRel.Quotientstatement and proof · cited by 28
- MulAction.orbitRel.Quotient.orbitstatement · cited by 15
- MulAction.orbitRel.Quotient.orbit_eq_orbit_outproof · cited by 4
- MulAction.mapsTo_smul_orbitproof · cited by 2
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