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Theorems · Theorem · group theory

AddMonoid.FG.fg_top

∀ {M : Type u_3} {inst : AddMonoid M} [self : AddMonoid.FG M], ⊤.FG
Defined in
Mathlib.GroupTheory.Finiteness
Cited by
10 results in Mathlib
Foundations
Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoid.FG
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddMonoid.fg_def · cited by 6AddMonoid.fg_defAddMonoid.fg_iff_addSubmonoid_fg · cited by 3AddMonoid.fg_iff_addSubmo…Monoid.fg_iff_add_fg · cited by 1Monoid.fg_iff_add_fgAddSubmonoid.exists_minimal_closure_eq_top · cited by 1AddSubmonoid.exists_minim…IsLinearSet.univ · cited by 1IsLinearSet.univisSemilinearSet_setOfPred_eq · cited by 1isSemilinearSet_setOfPred…AddMonoid.fg_iff · cited by 1AddMonoid.fg_ifffinite_addIrreducible · cited by 0finite_addIrreducibleIsSemilinearSet.preimage · cited by 0IsSemilinearSet.preimageAddMonoid.fg_iff_mul_fg · cited by 0AddMonoid.fg_iff_mul_fgTop.top · cited by 9680Top.topAddMonoid · cited by 2864AddMonoidAddSubmonoid · cited by 1178AddSubmonoidAddSubmonoid.FG · cited by 36AddSubmonoid.FGAddMonoid.FG · cited by 31AddMonoid.FGFG.fg_topCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by10

Results whose statement or proof uses this declaration.