From 3be963b6cd2786a798281719bc922b493360584a Mon Sep 17 00:00:00 2001 From: Claudio Sacerdoti Coen Date: Fri, 20 Jul 2007 16:20:30 +0000 Subject: [PATCH] The nicest script obtained so far. What is left, is a bunch of change/normalize/whd/simplify that are difficult to control precisely. --- matita/library/assembly/test.ma | 36 ++++++++++----------------------- 1 file changed, 11 insertions(+), 25 deletions(-) diff --git a/matita/library/assembly/test.ma b/matita/library/assembly/test.ma index 11cc0e4e7..e60183856 100644 --- a/matita/library/assembly/test.ma +++ b/matita/library/assembly/test.ma @@ -163,16 +163,8 @@ lemma loop_invariant': elim H; clear H; rewrite > H2; (* instruction LDAd *) - letin K ≝ - (breakpoint - (mk_status (byte_of_nat (x*n)) 4 O - (eqbyte 〈x0, x0〉 (byte_of_nat (x*n))) - (plusbytec (byte_of_nat (x*pred n)) x) - (update (update (update (mult_memory x y) 30 x) 31 (byte_of_nat (S a))) 32 - (byte_of_nat (x*n))) O) - 3 20); clearbody K; - normalize in K:(? ? (? ? %) ?); - rewrite > K; clear K; + change in ⊢ (? ? (? ? %) ?) with (3+20); + rewrite > breakpoint in ⊢ (? ? % ?); whd in ⊢ (? ? (? % ?) ?); normalize in ⊢ (? ? (? (? ? % ? ? ? ? ?) ?) ?); change in ⊢ (? ? (? (? % ? ? ? ? ? ?) ?) ?) @@ -180,28 +172,22 @@ lemma loop_invariant': change in ⊢ (? ? (? (? ? ? ? (? ? %) ? ? ?) ?) ?) with (byte_of_nat (S a)); (* instruction BEQ *) - letin K ≝ - (breakpoint - (mk_status (byte_of_nat (S a)) 6 O - (eqbyte 〈x0, x0〉 (byte_of_nat (S a))) - (plusbytec (byte_of_nat (x*pred n)) x) - (update (update (update (mult_memory x y) 30 x) 31 (byte_of_nat (S a))) 32 - (byte_of_nat (x*n))) O) - 3 17); clearbody K; - normalize in K:(? ? (? ? %) ?); - rewrite > K; clear K; + change in ⊢ (? ? (? ? %) ?) with (3+17); + rewrite > breakpoint in ⊢ (? ? % ?); whd in ⊢ (? ? (? % ?) ?); letin K ≝ (eq_eqbyte_x0_x0_byte_of_nat_S_false ? H3); clearbody K; rewrite > K; clear K; simplify in ⊢ (? ? (? (? ? % ? ? ? ? ?) ?) ?); (* instruction LDAd *) - rewrite > (breakpoint ? 3 14); + change in ⊢ (? ? (? ? %) ?) with (3+14); + rewrite > breakpoint in ⊢ (? ? % ?); whd in ⊢ (? ? (? % ?) ?); change in ⊢ (? ? (? (? % ? ? ? ? ? ?) ?) ?) with (byte_of_nat (x*n)); normalize in ⊢ (? ? (? (? ? % ? ? ? ? ?) ?) ?); change in ⊢ (? ? (? (? ? ? ? % ? ? ?) ?) ?) with (eqbyte 〈x0, x0〉 (byte_of_nat (x*n))); (* instruction DECd *) - rewrite > (breakpoint ? 5 9); + change in ⊢ (? ? (? ? %) ?) with (5+9); + rewrite > breakpoint in ⊢ (? ? % ?); whd in ⊢ (? ? (? % ?) ?); change in ⊢ (? ? (? (? ? ? ? (? ? %) ? ? ?) ?) ?) with (bpred (byte_of_nat (S a))); rewrite > (eq_bpred_S_a_a ? H3); @@ -213,7 +199,8 @@ lemma loop_invariant': reflexivity | ]; rewrite < Hcut; clear Hcut; clear H3; clear H2; clear a; (* instruction ADDd *) - rewrite > (breakpoint ? 3 6); + change in ⊢ (? ? (? ? %) ?) with (3+6); + rewrite > breakpoint in ⊢ (? ? % ?); whd in ⊢ (? ? (? % ?) ?); change in ⊢ (? ? (? (? % ? ? ? ? ? ?) ?) ?) with (plusbytenc (byte_of_nat (x*n)) x); @@ -233,8 +220,7 @@ lemma loop_invariant': rewrite < pred_Sn; apply status_eq; [1,2,3,4,7: normalize; reflexivity - | change with (plusbytec (byte_of_nat (x*n)) x = - plusbytec (byte_of_nat (x*n)) x); + | change with (plusbytec #(x*n) x = plusbytec #(x*n) x); reflexivity |6: intro; simplify in ⊢ (? ? ? %); -- 2.39.2