§
    3�’j�­  ã                   ó  — d Z g d¢Z eg d ed¦  «        f‘d ed¦  «        f‘d ed¦  «        f‘d ed	¦  «        f‘d
 ed¦  «        f‘d ed¦  «        f‘d ed¦  «        f‘d ed¦  «        f‘d ed¦  «        f‘d ed¦  «        f‘d ed¦  «        f‘d ed¦  «        f‘d ed¦  «        f‘d ed¦  «        f‘d ed¦  «        f‘d ed¦  «        f‘d  ed!¦  «        f‘d" ed#¦  «        f‘d$ ed%¦  «        f‘d& ed'¦  «        f‘d( ed)¦  «        f‘d* ed+¦  «        f‘d, ed-¦  «        f‘d. ed/¦  «        f‘d0 ed1¦  «        f‘d2 ed3¦  «        f‘d4 ed¦  «        f‘d5 ed6¦  «        f‘d7 ed8¦  «        f‘d9 ed¦  «        f‘d: ed;¦  «        f‘d< ed=¦  «        f‘d> ed?¦  «        f‘d@ edA¦  «        f‘dB edC¦  «        f‘dD ed¦  «        f‘dE edF¦  «        f‘dG ed¦  «        f‘dH edI¦  «        f‘dJ ed¦  «        f‘dK edL¦  «        f‘dM edN¦  «        f‘dO edP¦  «        f‘dQ edR¦  «        f‘dS edT¦  «        f‘dU edV¦  «        f‘dW edX¦  «        f‘dY ed¦  «        f‘dZ ed[¦  «        f‘d\ ed]¦  «        f‘d^ ed_¦  «        f‘d` ed¦  «        f‘da edb¦  «        f‘dc edd¦  «        f‘de edf¦  «        f‘dg edh¦  «        f‘di edj¦  «        f‘dk ed¦  «        f‘dl edm¦  «        f‘dn ed¦  «        f‘¦  «        Zi doh dp£“dqdrh“dsh dt£“duh dv£“dwh dx£“dyh dz£“d{h d|£“d}h d~£“dh d€£“d�h d‚£“dƒh d„£“d…h d†£“d‡h dˆ£“d‰h dŠ£“drh d‹£“dŒh d�£“dŽh d�£“h d�£h d‘£h d’£h d“£h d”£h d•£h d–£h d—£h d˜£h d™£h dš£h d›£h dœ£d�œ¥Zg h dž£df‘h dŸ£df‘d>dYhdf‘h d £df‘d d$hdf‘dd,hdf‘d*d,hd f‘d,dnhd$f‘h d¡£d(f‘dd$hd(f‘d<dghd.f‘h d¢£d.f‘d,dghd:f‘dcdehdBf‘h d££dEf‘dOdShdEf‘dd0hdEf‘d,d@hdHf‘dGdehdKf‘dd0hdKf‘d\dehdOf‘d d0hdOf‘d$d0hdSf‘dd>hdWf‘h d¤£d\f‘h d¥£dZf‘dKdShdZf‘d(d0hdZf‘h d¦£d^f‘h d§£dgf‘d,d<hdef‘d,d0hdef‘ddhdif‘h d¨£dlf‘h d©£dlf‘dd hdlf‘dKdOhdlf‘Zi dg dª¢“dg d«¢“dg “dg “dg d¬¢“dg d­¢“dg d®¢“dd¯d°g“dg d±¢“dg d²¢“dg d³¢“dg d´¢“dg dµ¢“dg d¶¢“d"g d·¢“d g d¸¢“d&g d¹¢“i d$g dº¢“d*g d»¢“d(g d¼¢“d.g “d,g d½¢“d2g d¾¢“d0g d«¢“d5g d¬¢“d7d¿g“d<g d«¢“d:g d¾¢“d@g dÀ¢“d>g dÁ¢“dBg dÂ¢“dGg dÃ¢“dEg dÄ¢“dHg dÅ¢“¥i dMg dÆ¢“dKg dÇ¢“dQg dÈ¢“dOg dÉ¢“dUg dÊ¢“dSg dË¢“dYd°g“dWg dÌ¢“d\g dÍ¢“dZg dÎ¢“d`g dÏ¢“d^d¯d°g“dcg dÐ¢“dag dÑ¢“dgg d¬¢“deg dÒ¢“dig dÓ¢“¥g dÔ¢g dÕœ¥ZeeeeedÖœZd×S )ØzC
Do NOT manually edit this file.
Instead, run ./bin/ask_update.py.
)Ú	algebraicÚantihermitianÚcommutativeÚcomplexÚ	compositeÚevenÚextended_negativeÚextended_nonnegativeÚextended_nonpositiveÚextended_nonzeroÚextended_positiveÚextended_realÚfiniteÚ	hermitianÚ	imaginaryÚinfiniteÚintegerÚ
irrationalÚnegativeÚ
nonintegerÚnonnegativeÚnonpositiveÚnonzeroÚoddÚpositiveÚprimeÚrationalÚrealÚtranscendentalÚzero©r   T)©r   T©r   T©r   T©r   F©r   F©r   F)©r   F©r   F©r   F©r   F©r   F©r   F©r   F©r   T© )r   F)©r   Fr!   )r   F)r&   ©r   Fr'   r(   ©r   F©r	   F©r
   F©r   F©r   F©r   Fr0   r)   ©r   F©r   F©r   F©r   F©r   F©r   Fr*   ©r   Fr+   r,   ©r   Fr%   r-   r"   )r!   r#   r$   r1   )r&   r'   r(   r0   r)   r8   r9   r;   r<   r=   r*   r>   r+   r,   r?   r%   r-   )r   T)r    r!   r"   r2   ©r	   Tr4   ©r   T©r   T©r   Tr#   ©r   Tr0   r$   ©r   Tr8   r9   r:   ©r   Tr<   ©r   T©r   Tr+   ©r   T©r   Tr%   r-   r'   ©r   T)r    r!   r"   rC   r#   rD   r0   r$   rE   r8   r:   r*   rI   rJ   r%   r(   )r-   ©r   T)r!   r'   r3   ©r
   TrA   r6   rC   r0   r;   r>   r+   r-   r2   )r9   r@   )r!   r2   rC   r0   r9   r3   )r'   r6   r;   r>   r+   r-   rM   )r!   r'   r6   rC   r0   r>   r+   r4   )r2   r9   r<   r-   rA   )r!   rC   r0   r-   r5   )r'   r2   r6   r9   r=   r>   r+   rB   )
r!   r2   r@   r4   rA   rC   r0   r9   r<   r-   r6   )r'   r>   r+   rC   )r!   r0   r7   )r'   r(   r2   r3   r4   r5   r6   r)   r8   r9   r:   r;   r<   r=   r*   r>   r+   r,   r?   r-   r#   )r$   ©r   F)r&   r1   r'   r(   r0   ©r   Tr)   r8   r9   r;   r<   r=   r*   r>   r+   r,   r?   r%   r-   rD   )r   F)r'   r(   r)   r8   r9   r;   r<   r=   r*   r>   r+   r,   r?   r-   )r   T)r.   r!   r"   r'   r(   r2   r3   r4   r5   r6   r7   r#   r$   r)   r8   r9   r:   r;   r<   r=   r*   r>   r+   r,   r?   r-   r0   rO   )r&   r1   r'   r(   rN   r0   r)   r8   r9   r;   r<   r=   r*   r>   r+   r,   r?   r%   r-   r$   )r#   rE   )r    r!   r"   rC   r#   rD   r0   r$   r8   r:   rI   rJ   r%   r)   )r'   r(   r*   r+   r-   )r   T)r!   r"   r'   r(   rA   rC   r#   rD   r0   r$   r)   ©r   TrG   r*   r+   r,   rJ   r-   r8   )r   T)r!   r"   r'   rL   r3   rM   rA   r6   rC   r#   rD   r0   r$   r;   ©r   TrG   r>   r+   rJ   r-   r9   rP   )
r!   r'   r(   rA   rC   r0   r)   r*   r+   r-   r:   rF   )r!   r"   r2   r@   rC   r#   rD   r0   r$   r9   rJ   r;   )r'   r>   r+   r-   rQ   )r!   r"   r'   rM   r6   rC   r#   rD   r0   r$   r>   r+   rJ   r<   )r9   r-   rG   )
r!   r"   rA   rC   r#   rD   r0   r$   rJ   r-   r=   )r'   r9   r>   r+   )r   T)r    r!   r"   r(   rA   rC   r#   rD   r0   r$   rE   r8   r:   rG   rI   rJ   r%   r-   r*   rH   )r!   r"   r2   r@   r4   rA   rB   rC   r#   rD   r0   r$   r9   rF   r<   rG   rJ   r-   r>   )r'   r+   )r   T)r    r!   r"   r'   r2   r@   r4   rA   rB   rC   r#   rD   r0   r$   rE   r8   r9   r:   rF   r<   rG   rH   rI   rJ   r%   r-   r+   rI   )r    r!   r"   rC   r#   rD   r0   r$   r8   rJ   r%   r,   )r'   r(   r)   r*   r+   r-   rJ   )r!   r"   rC   r#   rD   r0   r$   r?   )r'   r(   r)   r8   r9   r;   r<   r=   r*   r>   r+   r,   r-   )r   T)r&   r!   r"   r'   r(   r#   r$   r)   r*   r+   r,   r-   r%   ©r   T)r    r!   r"   r'   rK   r2   r@   rM   r5   r6   rC   r#   rD   r0   r$   rE   r8   r9   r:   rF   rQ   r=   r*   r>   r+   rI   rJ   r%   r-   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r	   r
   r	   >   r   r   r   r   r   r   r   r   r   r   r   r
   >   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r	   r
   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   >
   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r
   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   )r   r   r   r   r   r   r   r   r   r   r   r   r   >   rK   r+   rH   >   r+   rH   r'   >   r-   rC   r6   >   r-   rC   r2   >   r-   r2   r6   >   rJ   r-   r>   >   rK   r+   r'   >   rJ   r-   r9   >   rK   rH   r'   >   r-   r9   r>   >   rC   r2   r6   >   rJ   r9   r>   )
é    é   é   é   é   é   é   é   é   é   )é
   é   é   é   é   é   é   é   )r]   é   rT   rU   rV   r[   r\   )	rS   r]   r^   r_   r`   ra   rb   rc   rd   )é   é   é   é   é   )ri   rT   rU   rV   rW   rX   rY   r\   )rU   é!   rV   é   é   rX   é"   rY   é   é   r`   ra   rb   rc   rd   é    rg   rh   r\   )rT   rk   rV   rm   rW   rn   rY   rp   )
r^   re   r_   rW   rX   ro   ra   rb   rd   r[   )rT   rU   rl   rW   rX   ro   r\   )r^   re   r_   rk   rV   é	   rl   rW   rn   rY   rp   rc   é#   r[   r\   )rT   rV   rm   rW   rY   rp   r\   )r^   re   r_   rU   rk   é   rm   rW   rX   rn   ro   rb   rs   r[   r\   )rT   rk   rl   rm   rW   rn   ro   rp   )r^   re   r_   rU   rV   rt   rr   rl   rm   rW   rX   rY   rd   r[   )rT   rU   rk   rl   rW   rX   rn   ro   )
r^   re   r_   rW   rY   rp   r`   rc   rd   r[   )
r^   re   r_   rU   rk   rV   rl   rm   r[   r\   )rT   rU   rV   r[   r\   rS   )rT   rU   rV   rW   rX   rY   r[   r\   )ri   rj   rU   rk   rV   rl   rm   rX   rn   rY   ro   rp   r`   ra   rb   rc   rd   r\   )rS   rU   rV   rt   rr   rl   rm   rX   rY   é   é   ro   rp   r`   ra   rb   rc   )rW   rn   rY   rp   )rS   rZ   r[   )r^   re   r_   rU   rV   rt   rr   rl   rm   rW   rX   rY   rd   )rT   rU   rV   rW   rX   ro   r\   )rS   rk   rV   rr   rl   rn   rY   rv   ro   r`   rb   rd   rs   é$   rZ   r[   r\   )rT   rU   rV   rW   rY   rp   r\   )rS   rU   rk   rt   rm   rX   rn   ru   rp   ra   rc   rd   rs   rw   rZ   r[   r\   )rW   rn   ro   rp   )rS   rU   rV   rt   rr   rl   rm   rX   rY   ru   rv   ro   rp   r`   ra   rb   rc   rZ   r[   )rU   rV   rt   rr   rl   rm   rX   rY   ru   rv   ro   rp   r`   ra   rb   rc   )rW   rX   rn   ro   )rS   rq   rf   rg   rZ   r[   )rq   rf   rh   )	rT   rU   rV   rW   rX   rY   rZ   r[   r\   )rU   rk   rV   rl   rm   rX   rn   rY   ro   rp   r`   ra   rb   rc   rd   r[   r\   )rS   rU   rk   rV   rl   rm   rX   rn   rY   ro   rp   r`   ra   rb   rc   rd   rZ   r[   r\   )r]   r^   r_   rT   rU   rV   rW   rX   rY   r`   ra   rb   rc   rd   rZ   r[   r\   )rT   rU   rV   rW   rX   rY   r\   )r-   rR   )Údefined_factsÚfull_implicationsÚprereqÚ
beta_rulesÚbeta_triggersN)	Ú__doc__rx   ÚdictÚsetry   rz   r{   r|   Úgenerated_assumptionsr/   ó    úNC:\Projects\DSCons\.venv\Lib\site-packages\sympy\core\assumptions_generated.pyú<module>rƒ      sŒ  ððð ð
ð ð €ðD �Dð qà˜#˜#ð  	ñ ô ð ðqð ˜3˜3ð !	ñ ô ð 	ðqð, ˜c˜cð $	ñ ô ð ð-qð4 ˜s˜sð %	ñ  ô  ð ð5qð> ˜C˜Cð "	ñ ô ð ð?qðF ˜S˜Sð #	ñ ô ð ðGqð@ ˜˜ð 	ñ ô ð ðAqðN ˜˜ð 	ñ ô ð ðOqðx ˜#˜#ð  	ñ ô ð ðyqðt ˜3˜3ð !	ñ ô ð ðuqð| �S�Sð 	ñ ô ð ð}qðb �c�cð 	ñ ô ð ðcqðl ! # #ð (	ñ #ô #ð ðmqðL " 3 3ð )	ñ $ô $ð ðMqðV $ S Sð +	ñ &ô &ð ðWqðh % c cð ,	ñ 'ô 'ð ðiqð| $ S Sð +	ñ &ô &ð 	ð}qðR % c cð ,	ñ 'ô 'ð ðSqðb    ð '	ñ "ô "ð ðcqðr ! # #ð (	ñ #ô #ð 	ðsqðH ! # #ð (	ñ #ô #ð ðIqðd " 3 3ð )	ñ $ô $ð ðeqðr ˜c˜cð $	ñ ô ð ðsqð~ ˜s˜sð %	ñ  ô  ð ðqðn �s�sð 	ñ ô ð ðoqðx ˜˜ð 	ñ ô ð ðyqðf	 ˜#˜#ð  	ñ ô ð ðg	qðn	 ˜3˜3ð !	ñ ô ð ðo	qðR
 ˜#˜#ð  	ñ ô ð ðS
qðN ˜3˜3ð !	ñ ô ð ðOqðV ˜˜ð 	ñ ô ð ðWqðD ˜#˜#ð  	ñ ô ð ðEqðN ˜˜ð 	ñ ô ð ðOqðp ˜˜ð 	ñ ô ð ðqqðB ˜3˜3ð !	ñ ô ð ðCqðn ˜C˜Cð "	ñ ô ð ðoqðv ˜˜ð 	ñ ô ð ðwqðf ˜#˜#ð  	ñ ô ð ðgqðn ˜3˜3ð !	ñ ô ð ðoqðJ ˜C˜Cð "	ñ ô ð ðKqðR ˜C˜Cð "	ñ ô ð ðSqðp ˜S˜Sð #	ñ ô ð ðqqð@ ˜C˜Cð "	ñ ô ð ðAqðb ˜S˜Sð #	ñ ô ð ðcqðn ˜˜ð 	ñ ô ð ðoqðJ ˜˜ð 	ñ ô ð ðKqðZ �C�Cð 	ñ ô ð ð[qðF �S�Sð 	ñ ô ð ðGqðN ˜˜ð 	ñ ô ð ðOqðz ˜#˜#ð  	ñ ô ð ð{qðF �c�cð 	ñ ô ð ðGqðB �s�sð 	ñ ô ð ðCqðJ ˜˜ð 	ñ ô ð ðKqðh ˜#˜#ð  	ñ ô ð ðiqð| �S�Sð 	ñ ô ð 	ð}qðR �c�cð 	ñ ô ð ðSqðt ˜s˜sð %	ñ  ô  ð ðuqðT   ð &	ñ !ô !ð ðUqð\ �S�Sð 	ñ ô ð ð]qð\ �c�cð 	ñ ô ð ð]qñ qô qÐ ðhx	
ð ð ð ð ðx	
ð& Øðð'x	
ð0 ð ð ð ð1x	
ðj ð ð ð ðkx	
ðZ ð ð ð ð[x	
ðV ð ð ð ðWx	
ð~ ð ð ð ðx	
ð` ð ð ð ðax	
ð~ ð ð ð ðx	
ð\ ð ð ð ð]x	
ð@ ð ð ð ðAx	
ðb ð ð ð ðcx	
ðV ð ð ð ðWx	
ðD ð ð ð ðEx	
ðh ð ð ð ðix	
ðd	 ð ð ð ðe	x	
ðR
 ð ð ð ðS
x	
ð~
ð ð ð&ð ð ð0ð ð ðð ð ð&ð ð ð&ð ð ð(ð ð ð(ð ð ð0ð ð ð<ð ð ð*ð ð ð0ð ð ð ð ð ðsx	
ð x	
ð x	
€ðx|ð <Ð;Ð;Øðð|ð BÐAÐAØðð|ð ˜Ð(Øðð|ð NÐMÐMØ#ð%ð|ð" %Ð&@ÐAØ#ð%ð#|ð* #Ð$;Ð<Ø&ð(ð+|ð2 #Ð$;Ð<Ø&ð(ð3|ð: ˜Ð/Ø"ð$ð;|ðB NÐMÐMØ#ð%ðC|ðF %Ð&@ÐAØ#ð%ðG|ðN ˜?Ð+Ø ð"ðO|ðR SÐRÐRØ ð"ðS|ðZ ˜Ð/Øðð[|ðb ˜>Ð*Øððc|ðj <Ð;Ð;Øððk|ðn Ð.Ð/Øððo|ðr "Ð#3Ð4Øððs|ðz Ð1Ð2Øðð{|ðB ˜>Ð*ØððC|ðF %Ð&6Ð7ØððG|ðN ˜>Ð*ØððO|ðR %Ð&6Ð7ØððS|ðZ !Ð"2Ð3Øðð[|ðb Ð(Ð)Øððc|ðj >Ð=Ð=Øððk|ðr <Ð;Ð;Øððs|ðv Ð.Ð/Øððw|ðz "Ð#3Ð4Øðð{|ðB @Ð?Ð?ØððC|ðJ AÐ@Ð@ØððK|ðR Ð2Ð3ØððS|ðV Ð/Ð0ØððW|ð^ Ð-Ð.Ø ð"ð_|ðf [ÐZÐZØððg|ðj @Ð?Ð?Øððk|ðn %Ð&DÐEØððo|ðr Ð2Ð3Øððs|€
ðz6ØÐ?Ð?Ð?ð6àÐ9Ð9Ð9ð6ð ˜bð6ð ˜Bð	6ð
 Ð1Ð1Ð1ð6ð Ð;Ð;Ð;ð6ð ˜+˜+˜+ð6ð ˜"˜a˜ð6ð Ð2Ð2Ð2ð6ð ÐZÐZÐZð6ð !Ð"@Ð"@Ð"@ð6ð  Ð!IÐ!IÐ!Ið6ð $Ð%>Ð%>Ð%>ð6ð #Ð$\Ð$\Ð$\ð6ð $Ð%>Ð%>Ð%>ð6ð  #Ð$\Ð$\Ð$\ð!6ð"  Ð!?Ð!?Ð!?ð#6ð 6ð$ Ð RÐ RÐ Rð%6ð& !Ð"@Ð"@Ð"@ð'6ð(  Ð!IÐ!IÐ!Ið)6ð* ˜bð+6ð, Ð@Ð@Ð@ð-6ð. Ð(Ð(Ð(ð/6ð0 Ð6Ð6Ð6ð16ð2 Ð3Ð3Ð3ð36ð4 ˜"˜ð56ð6 Ð9Ð9Ð9ð76ð8 Ð)Ð)Ð)ð96ð: Ð5Ð5Ð5ð;6ð< ÐYÐYÐYð=6ð> ÐXÐXÐXð?6ð@ Ð)Ð)Ð)ðA6ðB ˜˜˜ðC6ðD ÐHÐHÐHðE6ð 6ð 6ðF Ð5Ð5Ð5ðG6ðH Ð[Ð[Ð[ðI6ðJ Ð5Ð5Ð5ðK6ðL Ð[Ð[Ð[ðM6ðN Ð(Ð(Ð(ðO6ðP Ð]Ð]Ð]ðQ6ðR �Q�CðS6ðT ÐMÐMÐMðU6ðV Ð)Ð)Ð)ðW6ðX Ð.Ð.Ð.ðY6ðZ �j�j�jð[6ð\ �b˜!�Wð]6ð^ Ð:Ð:Ð:ð_6ð` ÐWÐWÐWða6ðb Ð.Ð.Ð.ðc6ðd Ð[Ð[Ð[ðe6ðf Ð_Ð_Ð_ðg6ð 6ðh /Ð.Ð.Øðk6ð 6ð 6€ðr +8ÐN_Ø¨zÈMð[ð [Ð Ð Ð r�   