Theorems · Theorem · group theory
CommMonoid.fg_of_wellQuasiOrderedLE
∀ {M : Type u_5} [inst : CommMonoid M] [inst_1 : PartialOrder M] [WellQuasiOrderedLE M] [IsOrderedCancelMonoid M]
[CanonicallyOrderedMul M], Monoid.FG MA canonically ordered and well-quasi-ordered monoid must be finitely generated.
- Defined in
- Mathlib.GroupTheory.Finiteness
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- CommMonoidstatement and proof · cited by 2,264
- IsOrderedCancelMonoidstatement and proof · cited by 65
- CanonicallyOrderedMulstatement and proof · cited by 51
- WellQuasiOrderedLEstatement and proof · cited by 22
- Monoid.FGstatement · cited by 19
- Submonoid.fg_of_divisiveproof · cited by 2
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