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4 (* ||A|| A project by Andrea Asperti *)
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15 include "delayed_updating/substitution/lift_eq.ma".
16 include "delayed_updating/syntax/path_proper.ma".
18 (* LIFT FOR PATH ************************************************************)
20 (* Constructions with proper condition for path *****************************)
22 lemma lift_path_proper (f) (p):
25 [ #H0 elim (ppc_inv_empty … H0)
27 [ <lift_path_d_sn /2 width=3 by ppc_lcons/
28 | <lift_path_m_sn /2 width=3 by ppc_lcons/
29 | <lift_path_L_sn /2 width=3 by ppc_lcons/
30 | <lift_path_A_sn /2 width=3 by ppc_lcons/
31 | <lift_path_S_sn /2 width=3 by ppc_lcons/
36 (* Inversions with proper condition for path ********************************)
38 lemma lift_path_inv_proper (f) (p):
41 #H0 elim (ppc_inv_empty … H0)