Theorems · Definition · group theory
AddEquiv.prodAdditive
(G : Type u_2) → (H : Type u_3) → [inst : Mul G] → [inst_1 : Mul H] → Additive (G × H) ≃+ Additive G × Additive H
Additive (G × H) is equivalent to Additive G × Additive H.
- Defined in
- Mathlib.Algebra.Group.Equiv.TypeTags
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddEquivstatement · cited by 1,087
- Additivestatement and proof · cited by 356
- Additive.ofMulproof · cited by 155
- Additive.toMulproof · cited by 109
Cited by4
Results whose statement or proof uses this declaration.
- not_isCyclic_prod_of_infinite_nontrivialproof · cited by 1
- AddEquiv.prodAdditive_applystatement and proof · cited by 0
- AddEquiv.prodAdditive_symm_applystatement and proof · cited by 0
- CommGroup.equiv_free_prod_prod_multiplicative_zmodproof · cited by 0