129 nitpick [expect = potential] |
129 nitpick [expect = potential] |
130 nitpick [dont_specialize, expect = potential] |
130 nitpick [dont_specialize, expect = potential] |
131 sorry |
131 sorry |
132 |
132 |
133 lemma "\<forall>a. g a = a |
133 lemma "\<forall>a. g a = a |
134 \<Longrightarrow> \<exists>b\<^isub>1 b\<^isub>2 b\<^isub>3 b\<^isub>4 b\<^isub>5 b\<^isub>6 b\<^isub>7 b\<^isub>8 b\<^isub>9 b\<^isub>10 (b\<^isub>11\<Colon>nat). |
134 \<Longrightarrow> \<exists>b\<^sub>1 b\<^sub>2 b\<^sub>3 b\<^sub>4 b\<^sub>5 b\<^sub>6 b\<^sub>7 b\<^sub>8 b\<^sub>9 b\<^sub>10 (b\<^sub>11\<Colon>nat). |
135 b\<^isub>1 < b\<^isub>11 \<and> f5 g x = f5 (\<lambda>a. if b\<^isub>1 < b\<^isub>11 then a else h b\<^isub>2) x" |
135 b\<^sub>1 < b\<^sub>11 \<and> f5 g x = f5 (\<lambda>a. if b\<^sub>1 < b\<^sub>11 then a else h b\<^sub>2) x" |
136 nitpick [expect = potential] |
136 nitpick [expect = potential] |
137 nitpick [dont_specialize, expect = none] |
137 nitpick [dont_specialize, expect = none] |
138 nitpick [dont_box, expect = none] |
138 nitpick [dont_box, expect = none] |
139 nitpick [dont_box, dont_specialize, expect = none] |
139 nitpick [dont_box, dont_specialize, expect = none] |
140 sorry |
140 sorry |
141 |
141 |
142 lemma "\<forall>a. g a = a |
142 lemma "\<forall>a. g a = a |
143 \<Longrightarrow> \<exists>b\<^isub>1 b\<^isub>2 b\<^isub>3 b\<^isub>4 b\<^isub>5 b\<^isub>6 b\<^isub>7 b\<^isub>8 b\<^isub>9 b\<^isub>10 (b\<^isub>11\<Colon>nat). |
143 \<Longrightarrow> \<exists>b\<^sub>1 b\<^sub>2 b\<^sub>3 b\<^sub>4 b\<^sub>5 b\<^sub>6 b\<^sub>7 b\<^sub>8 b\<^sub>9 b\<^sub>10 (b\<^sub>11\<Colon>nat). |
144 b\<^isub>1 < b\<^isub>11 |
144 b\<^sub>1 < b\<^sub>11 |
145 \<and> f5 g x = f5 (\<lambda>a. if b\<^isub>1 < b\<^isub>11 then |
145 \<and> f5 g x = f5 (\<lambda>a. if b\<^sub>1 < b\<^sub>11 then |
146 a |
146 a |
147 else |
147 else |
148 h b\<^isub>2 + h b\<^isub>3 + h b\<^isub>4 + h b\<^isub>5 + h b\<^isub>6 + h b\<^isub>7 + h b\<^isub>8 |
148 h b\<^sub>2 + h b\<^sub>3 + h b\<^sub>4 + h b\<^sub>5 + h b\<^sub>6 + h b\<^sub>7 + h b\<^sub>8 |
149 + h b\<^isub>9 + h b\<^isub>10) x" |
149 + h b\<^sub>9 + h b\<^sub>10) x" |
150 nitpick [card nat = 2, card 'a = 1, expect = none] |
150 nitpick [card nat = 2, card 'a = 1, expect = none] |
151 nitpick [card nat = 2, card 'a = 1, dont_box, expect = none] |
151 nitpick [card nat = 2, card 'a = 1, dont_box, expect = none] |
152 nitpick [card nat = 2, card 'a = 1, dont_specialize, expect = none] |
152 nitpick [card nat = 2, card 'a = 1, dont_specialize, expect = none] |
153 nitpick [card nat = 2, card 'a = 1, dont_box, dont_specialize, expect = none] |
153 nitpick [card nat = 2, card 'a = 1, dont_box, dont_specialize, expect = none] |
154 sorry |
154 sorry |
155 |
155 |
156 lemma "\<forall>a. g a = a |
156 lemma "\<forall>a. g a = a |
157 \<Longrightarrow> \<exists>b\<^isub>1 b\<^isub>2 b\<^isub>3 b\<^isub>4 b\<^isub>5 b\<^isub>6 b\<^isub>7 b\<^isub>8 b\<^isub>9 b\<^isub>10 (b\<^isub>11\<Colon>nat). |
157 \<Longrightarrow> \<exists>b\<^sub>1 b\<^sub>2 b\<^sub>3 b\<^sub>4 b\<^sub>5 b\<^sub>6 b\<^sub>7 b\<^sub>8 b\<^sub>9 b\<^sub>10 (b\<^sub>11\<Colon>nat). |
158 b\<^isub>1 < b\<^isub>11 |
158 b\<^sub>1 < b\<^sub>11 |
159 \<and> f5 g x = f5 (\<lambda>a. if b\<^isub>1 \<ge> b\<^isub>11 then |
159 \<and> f5 g x = f5 (\<lambda>a. if b\<^sub>1 \<ge> b\<^sub>11 then |
160 a |
160 a |
161 else |
161 else |
162 h b\<^isub>2 + h b\<^isub>3 + h b\<^isub>4 + h b\<^isub>5 + h b\<^isub>6 + h b\<^isub>7 + h b\<^isub>8 |
162 h b\<^sub>2 + h b\<^sub>3 + h b\<^sub>4 + h b\<^sub>5 + h b\<^sub>6 + h b\<^sub>7 + h b\<^sub>8 |
163 + h b\<^isub>9 + h b\<^isub>10) x" |
163 + h b\<^sub>9 + h b\<^sub>10) x" |
164 nitpick [card nat = 2, card 'a = 1, expect = potential] |
164 nitpick [card nat = 2, card 'a = 1, expect = potential] |
165 nitpick [card nat = 2, card 'a = 1, dont_box, expect = potential] |
165 nitpick [card nat = 2, card 'a = 1, dont_box, expect = potential] |
166 nitpick [card nat = 2, card 'a = 1, dont_specialize, expect = potential] |
166 nitpick [card nat = 2, card 'a = 1, dont_specialize, expect = potential] |
167 nitpick [card nat = 2, card 'a = 1, dont_box, dont_specialize, |
167 nitpick [card nat = 2, card 'a = 1, dont_box, dont_specialize, |
168 expect = potential] |
168 expect = potential] |