T_geom_assoc, T_geom_scal_ref,
    sub_vtxF, sub_vtx_refF,
    sub_nodeF, sub_node_ref, sub_node_ref_eq, T_geom_sub_nodeF.
Simplify proof of sub_node_eq.

Add sub_vtx_ref_aff_indep.
Simplify proof of sub_vtx_aff_indep.

Add am_aff_{indep,dep,basis,has_dim}{,_rev,_equiv} (for injective functions),
    am_aff_indep{indep,dep,basis,has_dim}_ms.

Mv stuff around.

       {mm,mg,lm,am}_insert0F -> insert0F_{mm,mg,lm,am},
       mm_component_sum -> component_sum_mm,
       lm_part1F_fct_lm -> part1F_fct_lm.
Add scal_bij, scal_lm, scal_am.
Hide unfinished stuff about dilations.

Try new def for sub_vtx_ref.

Make kronR an abbreviation.
Rm now useless results on kronR.
Add homothety_ms.

Add results on sub_vtx_ref.
Rm doubles.
Modify sub_vtx.

Rename LagP_nodes -> LagP_node.

    LagPd1_ref_decomp_node.
Hide unused code.

Rename node_ref_eq -> node_ref_eqF.
Add INR_minus, inj_CSdk_0, inj_Hface_ref_{0,S}_node_ref.
Simplify proofs of T_geom_Hface_0_node, T_geom_Hface_S_node (modified).

Propagate new API (temporarily admit broken proofs).

   LagP_nodes.T_node_Hface_S* -> multi_index.inj_Adki.

       node_Hface_0_in_CSdk* -> node_Hface_0*,
       node_Hface_S_in_Adki -> node_Hface_S_old.
Add node_ref_CSdk, node_ref_Hface_ref_{0,S}, node_Hface_S.

    inj_Hface_ref_{0,S}, inj_Hface_ref_am,
    inj_Hface_ref_{funS,injS,surjS,bijS},
    inj_Hface_ref_invS.
WIP: inj_Hface_ref_Rg.
Modify T_geom_Hface.
Rename T_geom_Hface_in_Hface -> T_geom_Hface_funS.
Simplify proofs.

Add T_geom_Hface_{0,S}.
WIP: T_geom_Hface_S_correct.

Add am_comp_ms.

WIP: T_geom_Hface_S_correct.

Use K_geom_ref.
Rename T_geom{,_inv}_K_geom -> T_geom{,_inv}_K_geom_incl,
       T_geom_1k -> T_geom_1.
Add T_geom{,_inv}_K_geom_eq, T_geom_permutF_{vtx,permutF},
    T_geom{,_inv}_Hface_incl, T_geom{,_inv}_bijS_Hface{_spec,},
    T_geom{,_inv}_Hface_eq.
Fix Hface_ref_has_aff_dim into Hface_has_aff_dim.
Hide unused.
Merge sections.
Rm useless.

Add aff_span_ext_ms.

Simplify many proofs by applying new generic results.
Rename vtx_ref_liftF_S -> vtx_ref_SF,
       LagPd1_ref_{0,S}_eq* -> LagPd1_ref_{0,S}F*,
       LagPd1_ref_baryc* -> LagPd1_ref_barycF*,
       LagPd1_ref_am_lc -> LagPd1_ref_baryc_lc.
Add vtx_ref_{is_0_or_1,le_1}, vtx_ref_aff_{basis,gen,span},
    bc_vtx_ref_{uniq,am},
    LagPd1_ref_bc{F,,_f,_scatter,_gather}.
Rm vtx_ref_kron (= vtx_ref_S).

       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.