equal
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inserted
replaced
112 of \ttindexboldpos{-}{$HOL2arithfun}, \cdx{min} and |
112 of \ttindexboldpos{-}{$HOL2arithfun}, \cdx{min} and |
113 \cdx{max} because they are first eliminated by case distinctions. |
113 \cdx{max} because they are first eliminated by case distinctions. |
114 |
114 |
115 Even for linear arithmetic formulae, \isa{arith} is incomplete. If divisibility plays a |
115 Even for linear arithmetic formulae, \isa{arith} is incomplete. If divisibility plays a |
116 role, it may fail to prove a valid formula, for example |
116 role, it may fail to prove a valid formula, for example |
117 @{prop"m+m \<noteq> n+n+1"}. Fortunately, such examples are rare. |
117 @{text"m+m \<noteq> n+n+(1::nat)"}. Fortunately, such examples are rare. |
118 \end{warn} |
118 \end{warn} |
119 *} |
119 *} |
120 |
120 |
121 (*<*) |
121 (*<*) |
122 end |
122 end |