From: Claudio Sacerdoti Coen Date: Sun, 18 May 2008 17:55:16 +0000 (+0000) Subject: Dummy dependent types are no longer cleaned in inductive type arities. X-Git-Tag: make_still_working~5166 X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=commitdiff_plain;h=b3f75a04f7516037a1c3dc0735ed17720663356c;p=helm.git Dummy dependent types are no longer cleaned in inductive type arities. --- diff --git a/helm/software/matita/library/Z/dirichlet_product.ma b/helm/software/matita/library/Z/dirichlet_product.ma index 6328bc7dc..c45b4dc53 100644 --- a/helm/software/matita/library/Z/dirichlet_product.ma +++ b/helm/software/matita/library/Z/dirichlet_product.ma @@ -257,7 +257,7 @@ apply (trans_eq ? ? assumption ] |elim (divides_b_true_to_divides ? ? H4). - apply (witness ? ? n2). + apply (witness ? ? n1). rewrite > assoc_times. rewrite < H5. rewrite < sym_times. diff --git a/helm/software/matita/library/nat/chebyshev_teta.ma b/helm/software/matita/library/nat/chebyshev_teta.ma index 1765b3807..1bb493f79 100644 --- a/helm/software/matita/library/nat/chebyshev_teta.ma +++ b/helm/software/matita/library/nat/chebyshev_teta.ma @@ -162,7 +162,7 @@ elim (bc2 (S(2*m)) m) [unfold bc.rewrite > H3. rewrite > sym_times. rewrite > lt_O_to_div_times - [elim (divides_times_to_divides p (m!*(S (2*m)-m)!) n2) + [elim (divides_times_to_divides p (m!*(S (2*m)-m)!) n1) [apply False_ind. elim (divides_times_to_divides p (m!) (S (2*m)-m)!) [apply (lt_to_not_le ? ? (lt_to_le ? ? H1)). diff --git a/helm/software/matita/library/nat/congruence.ma b/helm/software/matita/library/nat/congruence.ma index 753745d45..948d10667 100644 --- a/helm/software/matita/library/nat/congruence.ma +++ b/helm/software/matita/library/nat/congruence.ma @@ -118,7 +118,7 @@ qed. theorem divides_to_congruent: \forall n,m,p:nat. O < p \to m \le n \to divides p (n - m) \to congruent n m p. intros.elim H2. -apply (eq_times_plus_to_congruent n m p n2). +apply (eq_times_plus_to_congruent n m p n1). assumption. rewrite < sym_plus. apply minus_to_plus.assumption. diff --git a/helm/software/matita/library/nat/gcd_properties1.ma b/helm/software/matita/library/nat/gcd_properties1.ma index bb8b9bb53..776b38adf 100644 --- a/helm/software/matita/library/nat/gcd_properties1.ma +++ b/helm/software/matita/library/nat/gcd_properties1.ma @@ -25,7 +25,7 @@ c \divides a \to c \divides b \to intros. elim (H2 ((gcd a b))) [ apply (antisymmetric_divides (gcd a b) c) - [ apply (witness (gcd a b) c n2). + [ apply (witness (gcd a b) c n1). assumption | apply divides_d_gcd; assumption @@ -164,7 +164,7 @@ apply (nat_case1 a) ] | assumption ] - | apply (witness ? ? n2). + | apply (witness ? ? n1). apply (inj_times_r1 (gcd a b) Hcut1). rewrite < assoc_times. rewrite < sym_times in \vdash (? ? (? % ?) ?). @@ -328,13 +328,13 @@ apply gcd1 | intros. elim H1. elim H2. - cut(b = (d*n2) + a) - [ cut (b - (d*n2) = a) + cut(b = (d*n1) + a) + [ cut (b - (d*n1) = a) [ rewrite > H4 in Hcut1. - rewrite < (distr_times_minus d n n2) in Hcut1. + rewrite < (distr_times_minus d n n1) in Hcut1. apply divides_d_gcd [ assumption - | apply (witness d a (n - n2)). + | apply (witness d a (n - n1)). apply sym_eq. assumption ] diff --git a/helm/software/matita/library/nat/neper.ma b/helm/software/matita/library/nat/neper.ma index 8da13d9ab..f5847033a 100644 --- a/helm/software/matita/library/nat/neper.ma +++ b/helm/software/matita/library/nat/neper.ma @@ -280,7 +280,7 @@ rewrite > lt_O_to_div_times assumption |apply lt_exp_Sn_n_SSSO ] - |apply (O_lt_times_to_O_lt ? n2). + |apply (O_lt_times_to_O_lt ? n1). rewrite < H2. assumption ]