Changeset 1479 for src/ASM/BitVectorTrie.ma

Timestamp:

Nov 2, 2011, 8:27:30 AM (10 years ago)

Author:

boender

Message:

• added insert_lookup_opt
• assembly compiles now

File:

• src/ASM/BitVectorTrie.ma (modified) (1 diff)

src/ASM/BitVectorTrie.ma

@@ -464 +464 @@
 qed.
 
+lemma insert_lookup_opt:
+ ∀A:Type[0].∀v,a:A.∀n.∀c,b:BitVector n.∀t:BitVectorTrie A n.
+   lookup_opt … b (insert … c v t) = Some A a → lookup_opt … b t = Some A a ∨ a = v.
+ #A #v #a #n #c elim c -c; -n;
+ [ #b #t #Hl normalize in Hl; %2 destruct (Hl) @refl
+ | #n #hd #tl #Hind #b cases (BitVector_Sn … b) #hd' * #tl' #Heq >Heq
+   #t cases (BitVectorTrie_Sn … t)
+   [ * #l * #r #Heq2 >Heq2 cases hd cases hd' #H normalize in H; normalize
+     [1,4: @(Hind tl' ? H) 
+     |2,3: %1 @H
+     ]
+   | #Heq2 >Heq2 cases hd cases hd' #H normalize in H; normalize 
+     [1,4: lapply (refl ? (eq_bv ? tl' tl)) cases (eq_bv ? tl' tl) in ⊢ (???% → %) #Heq3
+       [1,3: >(eq_bv_eq … Heq3) in H; >lookup_opt_prepare_trie_for_insertion_hit #X destruct (X) %2 //
+       |2,4: >(lookup_opt_prepare_trie_for_insertion_miss) in H
+         [1,3: #X %1 //
+         |2,4: >Heq3 //
+         ]
+       ] 
+     |2,3: destruct (H)
+     ]
+qed.
+
 lemma forall_insert_inv1:
   ∀A.∀n.∀b.∀a.∀t.∀P.