Theorems · Theorem · group theory
AddCommMonoid.torsion_sum
∀ (G : Type u_1) {H : Type u_2} [inst : AddCommMonoid G] [inst_1 : AddCommMonoid H],
AddCommMonoid.addTorsion (G × H) = (AddCommMonoid.addTorsion G).prod (AddCommMonoid.addTorsion H)- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- AddSubmonoidstatement · cited by 1,178
- IsOfFinAddOrderproof · cited by 105
- AddSubmonoid.prodstatement · cited by 27
- AddCommMonoid.addTorsionstatement · cited by 12
- AddSubmonoid.mem_prodproof · cited by 3
- IsOfFinAddOrder.prod_iffproof · cited by 2
- AddSubmonoid.ext_iffproof · cited by 1
- AddCommMonoid.mem_torsionproof · cited by 1
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