Theorems · Theorem · group theory
Set.op_vadd_set_add_eq_add_vadd_set
∀ {α : Type u_2} [inst : AddSemigroup α] (a : α) (s t : Set α), (AddOpposite.op a +ᵥ s) + t = s + (a +ᵥ t)- Cited by
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- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
- Assumes
- AddSemigroup
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- HVAdd.hVAddstatement · cited by 1,820
- add_assocproof · cited by 746
- AddOppositestatement · cited by 452
- Set.vaddSetstatement · cited by 403
- Set.addstatement · cited by 338
- AddOpposite.opstatement and proof · cited by 192
- AddSemigroupstatement and proof · cited by 136
- AddOpposite.unopproof · cited by 125
- Set.op_vadd_set_vadd_eq_vadd_vadd_setproof · cited by 1
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