Theorems · Theorem · group theory
Set.vadd_sub_vadd_comm
∀ {α : Type u_2} [inst : AddCommGroup α] (a : α) (s : Set α) (b : α) (t : Set α), (a +ᵥ s) - (b +ᵥ t) = (a - b) +ᵥ s - t- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroup
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Cites9
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
- AddCommGroupstatement and proof · cited by 12,871
- HVAdd.hVAddstatement · cited by 1,820
- Set.image_congrproof · cited by 533
- Set.vaddSetstatement · cited by 403
- Set.substatement · cited by 136
- add_sub_add_commproof · cited by 28
- Set.singleton_addproof · cited by 23
- Set.singleton_sub_singletonproof · cited by 1
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