Theorems · Theorem · group theory
AddCommMonoid.fg_of_wellQuasiOrderedLE
∀ {M : Type u_5} [inst : AddCommMonoid M] [inst_1 : PartialOrder M] [WellQuasiOrderedLE M] [IsOrderedCancelAddMonoid M]
[CanonicallyOrderedAdd M], AddMonoid.FG MA canonically ordered and well-quasi-ordered additive 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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Cites8
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
- PartialOrderstatement and proof · cited by 6,410
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- CanonicallyOrderedAddstatement and proof · cited by 229
- AddMonoid.FGstatement · cited by 31
- WellQuasiOrderedLEstatement and proof · cited by 22
- AddSubmonoid.mem_topproof · cited by 20
- AddSubmonoid.fg_of_subtractiveproof · cited by 2
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