Theorems · Theorem · group theory
IsMulIndecomposable.baseOf_subset_one_lt
∀ {ι : Type u_1} {M : Type u_2} {S : Type u_4} [inst : Monoid M] [inst_1 : LinearOrder S] [inst_2 : Monoid S]
(v : ι → M) (f : M →* S), IsMulIndecomposable.baseOf v f ⊆ {i | 1 < f (v i)}- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- MonoidLinearOrderMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Set.ofPredstatement and proof · cited by 6,101
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- IsMulIndecomposable.baseOfstatement · cited by 7
- IsMulIndecomposable.subsetproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Submonoid.closure_image_isMulIndecomposable_baseOfproof · cited by 2
- IsMulIndecomposable.apply_ne_one_iff_mem_closureproof · cited by 0