include "ground/relocation/gr_pushs.ma".
include "ground/relocation/gr_isi.ma".
-(* IDENTITY CONDITION FOR GENERIC RELOCATION MAPS ******************************************************)
+(* IDENTITY CONDITION FOR GENERIC RELOCATION MAPS ***************************)
-(* Properties with gr_pushs *)
+(* Constructions with gr_pushs **********************************************)
(*** isid_pushs *)
lemma gr_isi_pushs (n) (f): 𝐈❪f❫ → 𝐈❪⫯*[n]f❫.
#n @(nat_ind_succ … n) -n /3 width=3 by gr_isi_push/
qed.
-(* Inversion lemmas with iterated push **************************************)
+(* Inversions with gr_pushs *************************************************)
(*** isid_inv_pushs *)
lemma gr_isi_inv_pushs (n) (g): 𝐈❪⫯*[n]g❫ → 𝐈❪g❫.