include "ground/relocation/gr_pushs.ma".
include "ground/relocation/gr_isf.ma".
-(* FINITE COLENGTH CONDITION FOR GENERIC RELOCATION MAPS *)
+(* FINITE COLENGTH CONDITION FOR GENERIC RELOCATION MAPS ********************)
-(* Properties with iterated push ********************************************)
+(* Constructions with gr_pushs **********************************************)
(*** isfin_pushs *)
lemma gr_isf_pushs (n) (f): 𝐅❪f❫ → 𝐅❪⫯*[n]f❫.
#n @(nat_ind_succ … n) -n /3 width=3 by gr_isf_push/
qed.
-(* Inversion lemmas with iterated push **************************************)
+(* Inversions with gr_pushs *************************************************)
(*** isfin_inv_pushs *)
lemma gr_isf_inv_pushs (n) (g): 𝐅❪⫯*[n]g❫ → 𝐅❪g❫.