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Theorems · Theorem · group theory

AddAction.orbit.pairwiseDisjoint

∀ {G : Type u_1} [inst : AddGroup G] {X : Type u_2} [inst_1 : AddAction G X],
  (Set.range fun x => AddAction.orbit G x).PairwiseDisjoint id
Defined in
Mathlib.GroupTheory.GroupAction.Blocks
Cited by
1 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupAddAction
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddAction.IsPartition.of_orbits · cited by 1IsPartition.of_orbitsSet · cited by 53352SetSet.range · cited by 4705Set.rangeAddGroup · cited by 4410AddGroupDisjoint · cited by 2201DisjointAddAction · cited by 820AddActionFunction.onFun · cited by 570Function.onFunSet.PairwiseDisjoint · cited by 275Set.PairwiseDisjointAddAction.orbit · cited by 86AddAction.orbitAddAction.orbit.eq_or_disjoint · cited by 2orbit.eq_or_disjointorbit.pairwiseDisjointCITED BYCITES

Cites9

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Cited by1

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