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4 (* ||A|| A project by Andrea Asperti *)
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15 include "basic_2A/multiple/mr2.ma".
17 (* MULTIPLE RELOCATION WITH PAIRS *******************************************)
19 let rec pluss (cs:list2 nat nat) (i:nat) on cs ≝ match cs with
21 | cons2 l m cs ⇒ {l + i, m} @ pluss cs i
24 interpretation "plus (multiple relocation with pairs)"
25 'plus x y = (pluss x y).
27 (* Basic inversion lemmas ***************************************************)
29 lemma pluss_inv_nil2: ∀i,cs. cs + i = ◊ → cs = ◊.
34 lemma pluss_inv_cons2: ∀i,l,m,cs2,cs. cs + i = {l, m} @ cs2 →
35 ∃∃cs1. cs1 + i = cs2 & cs = {l - i, m} @ cs1.
36 #i #l #m #cs2 * normalize
38 | #l1 #m1 #cs1 #H destruct /2 width=3 by ex2_intro/