Theorems · Definition · group theory
IsMulIndecomposable.baseOf
{ι : Type u_1} →
{M : Type u_2} →
{S : Type u_4} → [inst : Monoid M] → [LinearOrder S] → [inst_2 : Monoid S] → (ι → M) → (M →* S) → Set ιThe "base" of a set of points of a monoid relative to a morphism f.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- MonoidLinearOrderMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Set.ofPredproof · cited by 6,101
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- IsMulIndecomposableproof · cited by 5
Cited by7
Results whose statement or proof uses this declaration.
- IsMulIndecomposable.baseOf_subset_one_ltstatement · cited by 2
- Submonoid.closure_image_isMulIndecomposable_baseOfstatement and proof · cited by 2
- IsMulIndecomposable.image_baseOf_inv_comp_eqstatement and proof · cited by 1
- IsMulIndecomposable.mem_or_inv_mem_closure_baseOfstatement · cited by 1
- Subgroup.closure_image_isMulIndecomposable_baseOfstatement and proof · cited by 0
- IsMulIndecomposable.apply_ne_one_iff_mem_closurestatement and proof · cited by 0
- IsMulIndecomposable.pairwise_baseOf_div_notMemstatement and proof · cited by 0