Theorems · Theorem · group theory

Set.vadd_set_eq_univ

∀ {α : Type u_2} {β : Type u_3} [inst : AddGroup α] [inst_1 : AddAction α β] {s : Set β} {a : α},
  a +ᵥ s = Set.univ ↔ s = Set.univ

Defined in: Mathlib.Algebra.Group.Action.Pointwise.Set.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 26 from the axioms · uses propext, Quot.sound
Assumes: AddGroup AddAction

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Setstatement and proof · cited by 53,352
AddGroupstatement and proof · cited by 4,410
Set.univstatement and proof · cited by 3,945
HVAdd.hVAddstatement · cited by 1,820
AddActionstatement and proof · cited by 820
Set.vaddSetstatement · cited by 403
Set.vadd_set_univproof · cited by 16
vadd_eq_iff_eq_neg_vaddproof · cited by 6

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