lemma unwind_rmap_pap_le (f1) (f2) (p) (m:pnat) (l:nat):
ninj (m+⧣p+l) = ❘p❘ →
- (▼[p]f1)@❨m❩ = (▼[p]f2)@❨m❩.
+ (▼[p]f1)@⧣❨m❩ = (▼[p]f2)@⧣❨m❩.
#f1 #f2 #p @(list_ind_rcons … p) -p
[ #m #l <depth_empty #H0 destruct
| #p * [ #n ] #IH #m #l
qed.
lemma unwind_rmap_pap_gt (f) (p) (m):
- f@❨m+⧣p❩+❘p❘ = (▼[p]f)@❨m+❘p❘❩.
+ f@⧣❨m+⧣p❩+❘p❘ = (▼[p]f)@⧣❨m+❘p❘❩.
#f #p @(list_ind_rcons … p) -p [ // ]
#p * [ #n ] #IH #m
[ <update_d_dx <depth_d_dx