theorem not_abbr_abst:
not (eq B Abbr Abst)
\def
- \lambda (H: (eq B Abbr Abst)).(let TMP_1 \def (\lambda (ee: B).(match ee in
-B with [Abbr \Rightarrow True | Abst \Rightarrow False | Void \Rightarrow
+ \lambda (H: (eq B Abbr Abst)).(let TMP_1 \def (\lambda (ee: B).(match ee
+with [Abbr \Rightarrow True | Abst \Rightarrow False | Void \Rightarrow
False])) in (let H0 \def (eq_ind B Abbr TMP_1 I Abst H) in (False_ind False
H0))).
theorem not_void_abst:
not (eq B Void Abst)
\def
- \lambda (H: (eq B Void Abst)).(let TMP_2 \def (\lambda (ee: B).(match ee in
-B with [Abbr \Rightarrow False | Abst \Rightarrow False | Void \Rightarrow
-True])) in (let H0 \def (eq_ind B Void TMP_2 I Abst H) in (False_ind False
+ \lambda (H: (eq B Void Abst)).(let TMP_1 \def (\lambda (ee: B).(match ee
+with [Abbr \Rightarrow False | Abst \Rightarrow False | Void \Rightarrow
+True])) in (let H0 \def (eq_ind B Void TMP_1 I Abst H) in (False_ind False
H0))).
theorem not_abbr_void:
not (eq B Abbr Void)
\def
- \lambda (H: (eq B Abbr Void)).(let TMP_3 \def (\lambda (ee: B).(match ee in
-B with [Abbr \Rightarrow True | Abst \Rightarrow False | Void \Rightarrow
-False])) in (let H0 \def (eq_ind B Abbr TMP_3 I Void H) in (False_ind False
+ \lambda (H: (eq B Abbr Void)).(let TMP_1 \def (\lambda (ee: B).(match ee
+with [Abbr \Rightarrow True | Abst \Rightarrow False | Void \Rightarrow
+False])) in (let H0 \def (eq_ind B Abbr TMP_1 I Void H) in (False_ind False
H0))).
theorem not_abst_void:
not (eq B Abst Void)
\def
- \lambda (H: (eq B Abst Void)).(let TMP_4 \def (\lambda (ee: B).(match ee in
-B with [Abbr \Rightarrow False | Abst \Rightarrow True | Void \Rightarrow
-False])) in (let H0 \def (eq_ind B Abst TMP_4 I Void H) in (False_ind False
+ \lambda (H: (eq B Abst Void)).(let TMP_1 \def (\lambda (ee: B).(match ee
+with [Abbr \Rightarrow False | Abst \Rightarrow True | Void \Rightarrow
+False])) in (let H0 \def (eq_ind B Abst TMP_1 I Void H) in (False_ind False
H0))).
theorem tweight_lt:
\forall (t: T).(lt O (tweight t))
\def
- \lambda (t: T).(let TMP_1848 \def (\lambda (t0: T).(let TMP_1847 \def
-(tweight t0) in (lt O TMP_1847))) in (let TMP_1846 \def (\lambda (_:
-nat).(let TMP_1845 \def (S O) in (le_n TMP_1845))) in (let TMP_1844 \def
-(\lambda (_: nat).(let TMP_1843 \def (S O) in (le_n TMP_1843))) in (let
-TMP_1842 \def (\lambda (_: K).(\lambda (t0: T).(\lambda (H: (lt O (tweight
-t0))).(\lambda (t1: T).(\lambda (_: (lt O (tweight t1))).(let TMP_1841 \def
-(S O) in (let TMP_1839 \def (tweight t0) in (let TMP_1838 \def (tweight t1)
-in (let TMP_1840 \def (plus TMP_1839 TMP_1838) in (let TMP_1836 \def (S O) in
-(let TMP_1835 \def (tweight t0) in (let TMP_1834 \def (tweight t1) in (let
-TMP_1837 \def (le_plus_trans TMP_1836 TMP_1835 TMP_1834 H) in (le_S TMP_1841
-TMP_1840 TMP_1837)))))))))))))) in (T_ind TMP_1848 TMP_1846 TMP_1844 TMP_1842
-t))))).
+ \lambda (t: T).(let TMP_2 \def (\lambda (t0: T).(let TMP_1 \def (tweight t0)
+in (lt O TMP_1))) in (let TMP_4 \def (\lambda (_: nat).(let TMP_3 \def (S O)
+in (le_n TMP_3))) in (let TMP_6 \def (\lambda (_: nat).(let TMP_5 \def (S O)
+in (le_n TMP_5))) in (let TMP_15 \def (\lambda (_: K).(\lambda (t0:
+T).(\lambda (H: (lt O (tweight t0))).(\lambda (t1: T).(\lambda (_: (lt O
+(tweight t1))).(let TMP_7 \def (S O) in (let TMP_8 \def (tweight t0) in (let
+TMP_9 \def (tweight t1) in (let TMP_10 \def (plus TMP_8 TMP_9) in (let TMP_11
+\def (S O) in (let TMP_12 \def (tweight t0) in (let TMP_13 \def (tweight t1)
+in (let TMP_14 \def (le_plus_trans TMP_11 TMP_12 TMP_13 H) in (le_S TMP_7
+TMP_10 TMP_14)))))))))))))) in (T_ind TMP_2 TMP_4 TMP_6 TMP_15 t))))).