src/ZF/upair.thy
changeset 61798 27f3c10b0b50
parent 60770 240563fbf41d
child 63901 4ce989e962e0
equal deleted inserted replaced
61797:458b4e3720ab 61798:27f3c10b0b50
   193 
   193 
   194 lemma the_eq_trivial2 [simp]: "(THE x. a = x) = a"
   194 lemma the_eq_trivial2 [simp]: "(THE x. a = x) = a"
   195 by blast
   195 by blast
   196 
   196 
   197 
   197 
   198 subsection\<open>Conditional Terms: @{text "if-then-else"}\<close>
   198 subsection\<open>Conditional Terms: \<open>if-then-else\<close>\<close>
   199 
   199 
   200 lemma if_true [simp]: "(if True then a else b) = a"
   200 lemma if_true [simp]: "(if True then a else b) = a"
   201 by (unfold if_def, blast)
   201 by (unfold if_def, blast)
   202 
   202 
   203 lemma if_false [simp]: "(if False then a else b) = b"
   203 lemma if_false [simp]: "(if False then a else b) = b"