X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2FBasic_2%2Fgrammar%2Fterm.ma;h=376061b70bb52cef59e3b11c08cb920ab6ba42ff;hb=d38087520d6ce1d696b28da40f3811291fc8a311;hp=3b6614361654328f5548874c8edc738713f32fbb;hpb=55dc00c1c44cc21c7ae179cb9df03e7446002c46;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/Basic_2/grammar/term.ma b/matita/matita/contribs/lambda_delta/Basic_2/grammar/term.ma index 3b6614361..376061b70 100644 --- a/matita/matita/contribs/lambda_delta/Basic_2/grammar/term.ma +++ b/matita/matita/contribs/lambda_delta/Basic_2/grammar/term.ma @@ -12,7 +12,7 @@ (* *) (**************************************************************************) -include "Basic-2/grammar/item.ma". +include "Basic_2/grammar/item.ma". (* TERMS ********************************************************************) @@ -26,6 +26,8 @@ interpretation "sort (term)" 'Star k = (TAtom (Sort k)). interpretation "local reference (term)" 'LRef i = (TAtom (LRef i)). +interpretation "global reference (term)" 'GRef p = (TAtom (GRef p)). + interpretation "term construction (atomic)" 'SItem I = (TAtom I). interpretation "term construction (binary)" 'SItem I T1 T2 = (TPair I T1 T2). @@ -33,3 +35,32 @@ interpretation "term construction (binary)" 'SItem I T1 T2 = (TPair I T1 T2). interpretation "term binding construction (binary)" 'SBind I T1 T2 = (TPair (Bind I) T1 T2). interpretation "term flat construction (binary)" 'SFlat I T1 T2 = (TPair (Flat I) T1 T2). + +(* Basic inversion lemmas ***************************************************) + +lemma discr_tpair_xy_x: ∀I,T,V. 𝕔{I} V. T = V → False. +#I #T #V elim V -V +[ #J #H destruct +| #J #W #U #IHW #_ #H destruct +(* + (generalize in match e1) -e1 >e0 normalize +*) -I /2/ (**) (* destruct: one quality is not simplified, the destucted equality is not erased *) +] +qed-. + +(* Basic_1: was: thead_x_y_y *) +lemma discr_tpair_xy_y: ∀I,V,T. 𝕔{I} V. T = T → False. +#I #V #T elim T -T +[ #J #H destruct +| #J #W #U #_ #IHU #H destruct -I V /2/ (**) (* destruct: the destucted equality is not erased *) +] +qed-. + +(* Basic properties *********************************************************) + +(* Basic_1: was: term_dec *) +axiom term_eq_dec: ∀T1,T2:term. Decidable (T1 = T2). + +(* Basic_1: removed theorems 3: + not_void_abst not_abbr_void not_abst_void +*)