Theorems · Definition · group theory
AddRightCancelMonoid.addGroupOfFinite
{H : Type u_6} → [AddRightCancelMonoid H] → [Finite H] → AddGroup HEvery finite right cancellative additive monoid is an additive group.
- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddRightCancelMonoidFinite
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement · cited by 4,410
- Finitestatement and proof · cited by 3,029
- AddEquiv.toEquivproof · cited by 174
- AddRightCancelMonoidstatement and proof · cited by 25
- AddEquiv.opOpproof · cited by 2
- Equiv.addGroupproof · cited by 1
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