equal
deleted
inserted
replaced
585 \ \ % |
585 \ \ % |
586 \isamarkupcmt{(should not really bother)% |
586 \isamarkupcmt{(should not really bother)% |
587 } |
587 } |
588 \isanewline |
588 \isanewline |
589 \ \ \isamarkupfalse% |
589 \ \ \isamarkupfalse% |
590 \isacommand{by}\ {\isacharparenleft}rule\ impI{\isacharparenright}\ % |
|
591 \isamarkupcmt{implicit assumption step involved here% |
|
592 } |
|
593 \isamarkupfalse% |
590 \isamarkupfalse% |
594 % |
591 % |
595 \begin{isamarkuptext}% |
592 \begin{isamarkuptext}% |
596 \noindent The above output has been produced as follows: |
593 \noindent The above output has been produced as follows: |
597 |
594 |
813 is actually a fake:% |
810 is actually a fake:% |
814 \end{isamarkuptext}% |
811 \end{isamarkuptext}% |
815 \isamarkuptrue% |
812 \isamarkuptrue% |
816 \isacommand{lemma}\ {\isachardoublequote}x\ {\isasymnoteq}\ {\isacharparenleft}{\isadigit{0}}{\isacharcolon}{\isacharcolon}int{\isacharparenright}\ {\isasymLongrightarrow}\ {\isadigit{0}}\ {\isacharless}\ x\ {\isacharasterisk}\ x{\isachardoublequote}\isanewline |
813 \isacommand{lemma}\ {\isachardoublequote}x\ {\isasymnoteq}\ {\isacharparenleft}{\isadigit{0}}{\isacharcolon}{\isacharcolon}int{\isacharparenright}\ {\isasymLongrightarrow}\ {\isadigit{0}}\ {\isacharless}\ x\ {\isacharasterisk}\ x{\isachardoublequote}\isanewline |
817 \ \ \isamarkupfalse% |
814 \ \ \isamarkupfalse% |
818 \isacommand{by}\ {\isacharparenleft}auto{\isacharparenright}\isamarkupfalse% |
815 \isamarkupfalse% |
819 % |
816 % |
820 \begin{isamarkuptext}% |
817 \begin{isamarkuptext}% |
821 \noindent Here the real source of the proof has been as follows: |
818 \noindent Here the real source of the proof has been as follows: |
822 |
819 |
823 \begin{verbatim} |
820 \begin{verbatim} |