+
    ‹°³jA§  ã                   óÌ	  € R t . R%Ot]! . R&]! R,4      3NR-]! R54      3NR6]! R74      3NR8]! R:4      3NR']! R74      3NR;]! RK4      3NR(]! RL4      3NR<]! RM4      3NRN]! RZ4      3NR.]! R74      3NR[]! R\4      3NR/]! R]4      3NR^]! R`4      3NR=]! Ra4      3NRO]! Rb4      3NR>]! Rc4      3NR_]! Rd4      3NR?]! Re4      3NRP]! Rf4      3NR@]! Rg4      3NRQ]! Rh4      3NRA]! Ri4      3NRR]! Rj4      3NRB]! Rk4      3NR)]! Rl4      3NRm]! Ro4      3NRS]! R74      3NRp]! Rq4      3NRr]! Rs4      3NR9]! R74      3NRn]! Rt4      3NR*]! Ru4      3NRT]! Rv4      3NR0]! Rw4      3NRx]! Rz4      3NRC]! R74      3NR{]! R}4      3NRD]! R74      3NRy]! R~4      3NRE]! R74      3NRU]! R4      3NRF]! R€4      3NR|]! R�4      3NRG]! R‚4      3NRV]! Rƒ4      3NRH]! R„4      3NR…]! R†4      3NR1]! R74      3NRW]! R‡4      3NRI]! Rˆ4      3NR‰]! RŠ4      3NR2]! R74      3NRX]! R‹4      3NR3]! RŒ4      3NRY]! R�4      3NRJ]! RŽ4      3NR�]! R�4      3NR+]! R74      3NR‘]! R’4      3NR4]! R74      3N4      t/ R0 R“mbRR0bR0 R”mbR0 R•mbR0 R–mbR0 R—mbR0 R˜mbR0 R™mbR	0 RšmbR
0 R›mbR0 RœmbR0 R�mbR0 RžmbR0 RŸmbR0 R mbR0 R¡mbR0 R¢mbR0 R£mR0 R¤mR0 R¥mR0 R¦mR0 R§mR0 R¨mR0 R©mR0 RªmR0 R«mR0 R¬mR0 R­mR0 R®mR0 R¯m/Ct. 0 R°mRN3N0 R±mR/3NRTR10R[3N0 R²mR^3NR_RP0R^3NR=RR0RO3NRARR0R_3NRRR40RP3N0 R³mRQ3NRORP0RQ3NR*RJ0RB3N0 R´mRB3NRRRJ0Rn3NR3RY0Rx3N0 RµmR{3NR|RV0R{3NR^R)0R{3NRRR00Ry3NRDRY0RU3NROR)0RU3NRIRY0R|3NR_R)0R|3NRPR)0RV3NR/RT0R…3N0 R¶mRI3N0 R·mRW3NRURV0RW3NRQR)0RW3N0 R¸mR‰3N0 R¹mRJ3NRRR*0RY3NRRR)0RY3NR-R(0R�3N0 RºmR‘3N0 R»mR‘3NROR_0R‘3NRUR|0R‘3Nt/ R-. R¼ObR&. R½ObR8. bR;. bR<. R¾ObR(. R¿ObR.. RÀObRN^^.bR/. RÁObR[. RÂObR=. RÃObR^. RÄObR>. RÅObRO. RÆObR?. RÇObR_. RÈObR@. RÉOb/ RP. RÊObRA. RËObRQ. RÌObRB. bRR. RÍObRm. RÎObR). R½ObRp. R¾ObRr^ .bR*. R½ObRn. RÎObR0. RÏObRT. RÐObRx. RÑObRD. RÒObR{. RÓObRy. RÔObC/ RF. RÕObRU. RÖObRG. R×ObR|. RØObRH. RÙObRV. RÚObR1^.bR…. RÛObRI. RÜObRW. RÝObR2. RÞObR‰^^.bR3. RßObRX. RàObRJ. R¾ObRY. RáObR�. RâObCR4. RãOR‘. /CtR]R ]R!]R"]R#]/tR$# )äzC
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zeroÚdefined_factsÚfull_implicationsÚprereqÚ
beta_rulesÚbeta_triggersN)r   r   r   r   r   r   r   r	   r
   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   ©r   T©r   T©r   T©r   T©r   F©r   F)r&   r'   r(   r)   r*   ©r   F©r   F©r   F©r   F©r   F©r   F©r   F©r   F)r,   r-   r.   r/   r0   r1   r2   ©r   T© )r   F©r   F)r5   )r   F©r   F©r   F©r	   F©r
   F©r   F©r   F©r   F©r   F©r   F©r   F©r   F©r   F©r   F©r   F©r   F)r+   r6   r,   r-   r7   r8   r9   r:   r;   r<   r5   r.   r=   r>   r?   r@   rA   rB   r/   rC   r0   r1   rD   r*   r2   )r&   r(   r)   )r+   r,   r-   r5   r.   r=   r>   r@   rA   rB   r/   rC   r0   r1   rD   r*   r2   )r   T©r	   T©r   T©r   T©r   T©r   T©r   T©r   T©r   T©r   T©r   T©r   T)r%   r&   r'   r7   rE   r9   rF   rG   rH   r(   rI   r5   r)   rJ   r=   r>   r?   rK   rA   rL   rM   r0   rN   rO   r*   r2   ©r   T)r%   r&   r'   rH   r(   rI   r5   r)   rJ   r=   r?   r/   rN   rO   r*   )r2   ©r   T©r
   T)r&   r,   r8   rR   rF   r;   rH   r5   r@   rC   r0   r2   )r>   )r&   r7   rH   r5   r>   )r,   r;   r@   rC   r0   r2   )r&   r,   r;   rH   r5   rC   r0   )r7   r>   rA   r2   )r&   rH   r5   r2   )r,   r7   r;   r>   rB   rC   r0   )
r&   r7   rE   r9   rF   rH   r5   r>   rA   r2   )r,   rC   r0   )r&   r5   )r,   r-   r7   r8   r9   r:   r;   r.   r=   r>   r?   r@   rA   rB   r/   rC   r0   r1   rD   r2   )r)   ©r   F©r   T)r+   r6   r,   r-   r5   rT   r.   r=   r>   r@   rA   rB   r/   rC   r0   r1   rD   r*   r2   )r   F)r,   r-   r.   r=   r>   r@   rA   rB   r/   rC   r0   r1   rD   r2   )r   T)r3   r&   r'   r,   r-   r7   r8   r9   r:   r;   r<   r(   r)   r.   r=   r>   r?   r@   rA   rB   r/   rC   r0   r1   rD   r2   )r+   r6   r,   r-   rS   r5   r.   r=   r>   r@   rA   rB   r/   rC   r0   r1   rD   r*   r2   )r(   )r%   r&   r'   rH   r(   rI   r5   r)   r=   r?   rN   rO   r*   )r,   r-   r/   r0   r2   )r   T©r   T)r&   r'   r,   r-   rF   rH   r(   rI   r5   r)   r.   rU   rL   r/   r0   r1   rO   r2   )r   T©r   T)r&   r'   r,   rQ   r8   rR   rF   r;   rH   r(   rI   r5   r)   r@   rV   rL   rC   r0   rO   r2   )
r&   r,   r-   rF   rH   r5   r.   r/   r0   r2   )r&   r'   r7   rE   rH   r(   rI   r5   r)   r>   rO   )r,   rC   r0   r2   )r&   r'   r,   rR   r;   rH   r(   rI   r5   r)   rC   r0   rO   )r>   r2   )
r&   r'   rF   rH   r(   rI   r5   r)   rO   r2   )r,   r>   rC   r0   )r   T)r%   r&   r'   r-   rF   rH   r(   rI   r5   r)   rJ   r=   r?   rL   rN   rO   r*   r2   )r&   r'   r7   rE   r9   rF   rG   rH   r(   rI   r5   r)   r>   rK   rA   rL   rO   r2   )r,   r0   )r   T)r%   r&   r'   r,   r7   rE   r9   rF   rG   rH   r(   rI   r5   r)   rJ   r=   r>   r?   rK   rA   rL   rM   rN   rO   r*   r2   )r%   r&   r'   rH   r(   rI   r5   r)   r=   rO   r*   )r,   r-   r.   r/   r0   r2   )r&   r'   rH   r(   rI   r5   r)   )r,   r-   r.   r=   r>   r@   rA   rB   r/   rC   r0   r1   r2   )r   T)r+   r&   r'   r,   r-   r(   r)   r.   r/   r0   r1   r2   )r   T)r%   r&   r'   r,   rP   r7   rE   rR   r:   r;   rH   r(   rI   r5   r)   rJ   r=   r>   r?   rK   rV   rB   r/   rC   r0   rN   rO   r*   >   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r	   r
   >   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r	   r
   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   >
   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r
   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   >   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r	   r
   >   rP   r0   rM   >   r0   rM   r,   >   r2   rH   r;   >   r2   rH   r7   >   r2   r7   r;   >   rO   r2   rC   >   rP   r0   r,   >   rO   r2   r>   >   rP   rM   r,   >   r2   r>   rC   >   rH   r7   r;   >   rO   r>   rC   )
é    é   é   é   é   é   é   é   é   é   )é
   é   é   é   é   é   é   é   )ra   é   rX   rY   rZ   r_   r`   )	rW   ra   rb   rc   rd   re   rf   rg   rh   )é   é   é   )é   rX   rY   rZ   r[   r\   r]   r`   )rY   é!   rZ   é   é   r\   é"   r]   é   é   rd   re   rf   rg   rh   é    rk   rl   r`   )rX   rn   rZ   rp   r[   rq   r]   rs   )
rb   ri   rc   r[   r\   rr   re   rf   rh   r_   )rX   rY   ro   r[   r\   rr   r`   )rb   ri   rc   rn   rZ   é	   ro   r[   rq   r]   rs   rg   é#   r_   r`   )rX   rZ   rp   r[   r]   rs   r`   )rb   ri   rc   rY   rn   é   rp   r[   r\   rq   rr   rf   rv   r_   r`   )rX   rn   ro   rp   r[   rq   rr   rs   )rb   ri   rc   rY   rZ   rw   ru   ro   rp   r[   r\   r]   rh   r_   )rX   rY   rn   ro   r[   r\   rq   rr   )
rb   ri   rc   r[   r]   rs   rd   rg   rh   r_   )
rb   ri   rc   rY   rn   rZ   ro   rp   r_   r`   )rX   rY   rZ   r_   r`   )rX   rY   rZ   r[   r\   r]   r_   r`   )rm   é   rY   rn   rZ   ro   rp   r\   rq   r]   rr   rs   rd   re   rf   rg   rh   r`   )rW   rY   rZ   rw   ru   ro   rp   r\   r]   é   é   rr   rs   rd   re   rf   rg   )r[   rq   r]   rs   )rW   r^   r_   )rb   ri   rc   rY   rZ   rw   ru   ro   rp   r[   r\   r]   rh   )rX   rY   rZ   r[   r\   rr   r`   )rW   rn   rZ   ru   ro   rq   r]   rz   rr   rd   rf   rh   rv   é$   r^   r_   r`   )rX   rY   rZ   r[   r]   rs   r`   )rW   rY   rn   rw   rp   r\   rq   ry   rs   re   rg   rh   rv   r{   r^   r_   r`   )r[   rq   rr   rs   )rW   rY   rZ   rw   ru   ro   rp   r\   r]   ry   rz   rr   rs   rd   re   rf   rg   r^   r_   )rY   rZ   rw   ru   ro   rp   r\   r]   ry   rz   rr   rs   rd   re   rf   rg   )r[   r\   rq   rr   )rW   rt   rj   rk   r^   r_   )rt   rj   rl   )	rX   rY   rZ   r[   r\   r]   r^   r_   r`   )rY   rn   rZ   ro   rp   r\   rq   r]   rr   rs   rd   re   rf   rg   rh   r_   r`   )rW   rY   rn   rZ   ro   rp   r\   rq   r]   rr   rs   rd   re   rf   rg   rh   r^   r_   r`   )ra   rb   rc   rX   rY   rZ   r[   r\   r]   rd   re   rf   rg   rh   r^   r_   r`   )rX   rY   rZ   r[   r\   r]   r`   )	Ú__doc__r    ÚdictÚsetr!   r"   r#   r$   Úgenerated_assumptionsr4   ó    Úa/home/luca/screen-checking/.venv/lib/python3.14/site-packages/sympy/core/assumptions_generated.pyÚ<module>r‚      sz  ðñò
€ñD ð qà™#ð  	ó ð ðqð ™3ð !	ó ð 	ðqð, ™cð $	ó ð ð-qð4 ™sð %	ó  ð ð5qð> ™Cð "	ó ð ð?qðF ™Sð #	ó ð ðGqð@ ™ð 	ó ð ðAqðN ™ð 	ó ð ðOqðx ™#ð  	ó ð ðyqðt ™3ð !	ó ð ðuqð| ‘Sð 	ó ð ð}qðb ‘cð 	ó ð ðcqðl !¡#ð (	ó #ð ðmqðL "¡3ð )	ó $ð ðMqðV $¡Sð +	ó &ð ðWqðh %¡cð ,	ó 'ð ðiqð| $¡Sð +	ó &ð 	ð}qðR %¡cð ,	ó 'ð ðSqðb  ¡ð '	ó "ð ðcqðr !¡#ð (	ó #ð 	ðsqðH !¡#ð (	ó #ð ðIqðd "¡3ð )	ó $ð ðeqðr ™cð $	ó ð ðsqð~ ™sð %	ó  ð ðqðn ‘sð 	ó ð ðoqðx ™ð 	ó ð ðyqðf	 ™#ð  	ó ð ðg	qðn	 ™3ð !	ó ð ðo	qðR
 ™#ð  	ó ð ðS
qðN ™3ð !	ó ð ðOqðV ™ð 	ó ð ðWqðD ™#ð  	ó ð ðEqðN ™ð 	ó ð ðOqðp ™ð 	ó ð ðqqðB ™3ð !	ó ð ðCqðn ™Cð "	ó ð ðoqðv ™ð 	ó ð ðwqðf ™#ð  	ó ð ðgqðn ™3ð !	ó ð ðoqðJ ™Cð "	ó ð ðKqðR ™Cð "	ó ð ðSqðp ™Sð #	ó ð ðqqð@ ™Cð "	ó ð ðAqðb ™Sð #	ó ð ðcqðn ™ð 	ó ð ðoqðJ ™ð 	ó ð ðKqðZ ‘Cð 	ó ð ð[qðF ‘Sð 	ó ð ðGqðN ™ð 	ó ð ðOqðz ™#ð  	ó ð ð{qðF ‘cð 	ó ð ðGqðB ‘sð 	ó ð ðCqðJ ™ð 	ó ð ðKqðh ™#ð  	ó ð ðiqð| ‘Sð 	ó ð 	ð}qðR ‘cð 	ó ð ðSqðt ™sð %	ó  ð ðuqðT ¡ð &	ó !ð ðUqð\ ‘Sð 	ó ð ð]qð\ ‘cð 	ó ð ð]qó qÐ ðhx	
ð ò ðx	
ð& Øðð'x	
ð0 ò ð1x	
ðj ò ðkx	
ðZ ò ð[x	
ðV ò ðWx	
ð~ ò ðx	
ð` ò ðax	
ð~ ò ðx	
ð\ ò ð]x	
ð@ ò ðAx	
ðb ò ðcx	
ðV ò ðWx	
ðD ò ðEx	
ðh ò ðix	
ðd	 ò ðe	x	
ðR
 ò ðS
x	
ð~
 ò ð& ò ð0 ò ð ò ð& ò ð& ò ð( 
ò ð( ò ð0 ò ð< ò ð* ò ð0 ò ð  ò ñsx	
€ðx|ò <Øðð|ò BØðð|ð ˜Ð(Øðð|ò NØ#ð%ð|ð" %Ð&@ÐAØ#ð%ð#|ð* #Ð$;Ð<Ø&ð(ð+|ð2 #Ð$;Ð<Ø&ð(ð3|ð: ˜Ð/Ø"ð$ð;|òB NØ#ð%ðC|ðF %Ð&@ÐAØ#ð%ðG|ðN ˜?Ð+Ø ð"ðO|òR SØ ð"ðS|ðZ ˜Ð/Øðð[|ðb ˜>Ð*Øððc|òj <Øððk|ðn Ð.Ð/Øððo|ðr "Ð#3Ð4Øððs|ðz Ð1Ð2Øðð{|ðB ˜>Ð*ØððC|ðF %Ð&6Ð7ØððG|ðN ˜>Ð*ØððO|ðR %Ð&6Ð7ØððS|ðZ !Ð"2Ð3Øðð[|ðb Ð(Ð)Øððc|òj >Øððk|òr <Øððs|ðv Ð.Ð/Øððw|ðz "Ð#3Ð4Øðð{|òB @ØððC|òJ AØððK|ðR Ð2Ð3ØððS|ðV Ð/Ð0ØððW|ð^ Ð-Ð.Ø ð"ð_|òf [Øððg|òj @Øððk|ðn %Ð&DÐEØððo|ðr Ð2Ð3Øððs|€
ðz6ØÒ?ð6àÒ9ð6ð ˜bð6ð ˜Bð	6ð
 Ò1ð6ð Ò;ð6ð š+ð6ð ˜"˜a˜ð6ð Ò2ð6ð ÒZð6ð !Ò"@ð6ð  Ò!Ið6ð $Ò%>ð6ð #Ò$\ð6ð $Ò%>ð6ð  #Ò$\ð!6ð"  Ò!?ñ#6ð$ Ò Rð%6ð& !Ò"@ð'6ð(  Ò!Ið)6ð* ˜bð+6ð, Ò@ð-6ð. Ò(ð/6ð0 Ò6ð16ð2 Ò3ð36ð4 ˜"˜ð56ð6 Ò9ð76ð8 Ò)ð96ð: Ò5ð;6ð< ÒYð=6ð> ÒXð?6ð@ Ò)ðA6ðB šðC6ðD ÒHòE6ðF Ò5ðG6ðH Ò[ðI6ðJ Ò5ðK6ðL Ò[ðM6ðN Ò(ðO6ðP Ò]ðQ6ðR �Q�CðS6ðT ÒMðU6ðV Ò)ðW6ðX Ò.ðY6ðZ ’jð[6ð\ �b˜!�Wð]6ð^ Ò:ð_6ð` ÒWða6ðb Ò.ðc6ðd Ò[ðe6ðf Ò_ñg6ðh Ò.Ø�Bñk6€ðr )¨-Ð9LÐN_Ø˜ ¨z¸?ÈMð[Ò r€   