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Theorems · Theorem · group theory

Set.disjoint_vadd_set_right

∀ {α : Type u_2} {β : Type u_3} [inst : AddGroup α] [inst_1 : AddAction α β] {s t : Set β} {a : α},
  Disjoint s (a +ᵥ t) ↔ Disjoint (-a +ᵥ s) t
Defined in
Mathlib.Algebra.Group.Action.Pointwise.Set.Basic
Cited by
2 results in Mathlib
Foundations
Depth 61 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.isBlock_iff_disjoint_vadd_of_ne · cited by 3AddAction.isBlock_iff_dis…Set.pairwise_disjoint_vadd_iff · cited by 0Set.pairwise_disjoint_vad…Set · cited by 53352SetAddGroup · cited by 4410AddGroupDisjoint · cited by 2201DisjointHVAdd.hVAdd · cited by 1820HVAdd.hVAddAddAction · cited by 820AddActionSet.vaddSet · cited by 403Set.vaddSetvadd_neg_vadd · cited by 31vadd_neg_vaddSet.disjoint_vadd_set · cited by 2Set.disjoint_vadd_setSet.disjoint_vadd_set_rightCITED BYCITES

Cites8

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Cited by2

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