Theorems · Definition · group theory
RightCancelMonoid.groupOfFinite
{H : Type u_6} → [RightCancelMonoid H] → [Finite H] → Group HEvery finite right cancellative monoid is a 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
- RightCancelMonoidFinite
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement · cited by 6,238
- Finitestatement and proof · cited by 3,029
- MulEquiv.toEquivproof · cited by 126
- RightCancelMonoidstatement and proof · cited by 18
- MulEquiv.opOpproof · cited by 2
- Equiv.groupproof · cited by 1
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