Make K argument of plusn1 implicit.
Mv stuff around.
Rename invertible_plusn -> invertible_plusn_not_ring_charac.
Add invertible_plusn1_R, scal_ones, isobaryc_ms_eq.

  itemF, insert0F, replace0F, squeezeF.
And also for associated lemmas.

Proof of aff_indep_decomp_uniq_rev.

    lin_indep_aff_indep{,_rev,_equiv}.

Add sum_skipF_compat, sum_eqxF_reg, sum_skipF_reg.

       aff_map_* -> am_*.
Add fct_mapF_f_eq,
    lc_sum_r_alt, barycenter2_r_alt,
    bc_0, bc_ms_correct, baryc_bc_{sum,baryc}, bc_amS, bc_am{,_ms}.
WIP: am_gather_rev_ms.

Make baryc_coord a total function.
Add baryc_coord_kron{,F_{l,r}},
    am_aff_span_ms.

Rename aff_span_incl -> aff_span_monot_inclF,
       aff_span_monot -> aff_span_monot_invalF,
       baryc_weight_uniq -> aff_indep_decomp_uniq.
Add aff_span_normal, aff_span_decomp_ex, aff_span_lb,
    baryc_surjL_injL_bijL, baryc_bijL_{surjL,injL},
    aff_span_equiv, aff_span_glb,
    aff_gen_{aff_span,inclF}, aff_gen_decomp_ex{,_rev,_equiv}, aff_gen_cas,
    aff_indep_decomp_uniq_rev (WIP), aff_indep_decomp_uniq_equiv,
    aff_basis_aff_span_equiv, aff_basis_inclF,
    aff_basis_decomp_{ex,uniq,ex_uniq{,_rev_equiv}},
    has_aff_dim_aff_span{,_alt}, aff_basis_cas, has_aff_dim_cas.

Rename baryc_coord_uniq -> baryc_weight_uniq.
Add new baryc_coord_uniq.

Add baryc_frameF_equiv.

  F{T,R}0_lin_span, FR0_dual_lin_span,
  F{T,R}0_lin_gen, FR0_dual_lin_gen,
  F{T,R}0_lin_indep, F{T,R}0_dual_lin_indep,
  F{T,R}0_basis, FR0_dual_basis,
  FT0_has_dim, FR0_dual_has_dim.
Add FR0_sub_dim, FR0_sub_eq,
    FR0_dual_sub_dim, FR0_dual_sub_eq.
Modify lin_{in,}dep_1_equiv, basis_1_equiv (abstract, simpler proof).

Add le_1_n{0,1}, I_1_unit, I_1_is_unit, eqAF_1,
    F{T,R}0_dual_ext.

       cg_mg -> mg_cg,
       cg_{,b}lm -> {,b}lm_cg,
       cms_lm -> lm_cms.
Abstract hat0F_is_nonempty, hat0F_unit, hat0F_is_unit,
         hat{0n,m0}T_is_nonempty, hat*T_unit, hat*T_is_unit.
         F{T,R}0{,m}_eq (moved to Monoid_FF), hat*T_eq,
         FT0_scal, FT0_cms, FR0_cms (moved to ModuleSpace_R_compl).
Add spec_hyp, mult_zero_reg_{l,r},
    scal_const, FT0_dual_eq, FR0_dual_eq.

Add FTd/FTdm for any type.
Mv FR0_eq from ModuleSpace_R_compl to Monoid_compl.
Add FR0m, and FT0_eq/FT0m_eq for any monoid type.
Rename hat0F_is_zero -> hat0F_eq,
       hat0nT_is_zero -> hat0nT_eq,
       hatm0T_is_zero -> hatm0T_eq.
Add FT0_scal, FT0_cms, FR0_cms,
    FT0_lin_span, FR0_lin_span,
    has_dim_0_sub, has_dim_1_sub.

Add {permutF,revF,moveF,transpF}_{surj,bij}.

Add baryc_permutF_{l,r}.

    frameF_1, frameF_singleF, frameF_2_{0,1}, frameF_coupleF_{0,1},
    aff_indep_1, aff_indep_singleF, aff_indep_2_equiv, aff_indep_coupleF_equiv.
Rename nil_is_zero -> hat0F_is_zero.

Add aff_span_Rms, aff_gen_Rms, aff_basis_Rms, has_aff_dim_Rms.
Got rid of bijective_Rms.

Modify def aff_indep (only for ord0).
Rename aff_indep_alt -> aff_indep_any (under prenex form).
Rm useless aff_dep_alt.
Add aff_indep_all, aff_indep_all_equiv,
    aff_dep_any, aff_dep_ex, aff_dep_ex_equiv,
    aff_indep_{revF,moveF,transpF}_equiv,
    aff_indep_Rms,
    aff_indep_aff_gen_R.

Some style unification + cosmetics.
Rename B0k_eq -> Monom_0k_eq,
       Bd0_eq -> Monom_d0_eq,
       Bd1_eq0 -> Monom_d1_eq0,
       Bd1_neq0 -> Monom_d1_neq0,
       Pdk_monotone* -> Pdk_monot*,
       am_Pd1 -> Pd1_am.

  Finite_dim_AS_aff_span + Finite_dim_AS_aff_gen
  + Finite_dim_AS_Aff_indep + Finite_dim_AS_basis.
Update doc.
Update imports.