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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 include "ground/relocation/gr_pushs.ma".
16 include "ground/relocation/gr_isf.ma".
18 (* FINITE COLENGTH CONDITION FOR GENERIC RELOCATION MAPS *)
20 (* Properties with iterated push ********************************************)
23 lemma gr_isf_pushs (n) (f): 𝐅❪f❫ → 𝐅❪⫯*[n]f❫.
24 #n @(nat_ind_succ … n) -n /3 width=3 by gr_isf_push/
27 (* Inversion lemmas with iterated push **************************************)
29 (*** isfin_inv_pushs *)
30 lemma gr_isf_inv_pushs (n) (g): 𝐅❪⫯*[n]g❫ → 𝐅❪g❫.
31 #n @(nat_ind_succ … n) -n /3 width=3 by gr_isf_inv_push/