begin
theorem Th1:
theorem Th2:
theorem Th3:
theorem Th4:
theorem Th5:
theorem
canceled;
theorem Th7:
theorem Th8:
theorem
theorem Th10:
theorem Th11:
theorem Th12:
theorem Th13:
theorem Th14:
theorem Th15:
theorem Th16:
theorem Th17:
theorem Th18:
theorem Th19:
theorem Th20:
theorem Th21:
theorem Th22:
theorem Th23:
Lm1:
for x, y being set st x in dom <*y*> holds
x = 1
Lm2:
for x, y, z being set holds
( not x in dom <*y,z*> or x = 1 or x = 2 )
Lm3:
for R being good Ring
for T being InsType of (SCM R) holds
( T = 0 or T = 1 or T = 2 or T = 3 or T = 4 or T = 5 or T = 6 or T = 7 )
theorem Th24:
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem Th32:
theorem Th33:
theorem Th34:
theorem Th35:
theorem Th36:
theorem Th37:
theorem Th38:
theorem Th39:
theorem Th40:
theorem Th41:
theorem Th42:
theorem Th43:
theorem Th44:
theorem Th45:
theorem Th46:
theorem Th47:
theorem Th48:
theorem Th49:
theorem Th50:
theorem Th51:
theorem Th52:
Lm4:
for R being good Ring
for l being Instruction-Location of SCM R
for i being Instruction of (SCM R) st ( for s being State of (SCM R) st IC s = l & s . l = i holds
(Exec i,s) . (IC (SCM R)) = Next (IC s) ) holds
NIC i,l = {(Next l)}
Lm5:
for R being good Ring
for i being Instruction of (SCM R) st ( for l being Instruction-Location of SCM R holds NIC i,l = {(Next l)} ) holds
JUMP i is empty
theorem Th53:
theorem Th54:
theorem Th55:
theorem Th56:
theorem Th57:
theorem Th58:
theorem Th59:
theorem Th60:
theorem Th61:
theorem
theorem Th63:
theorem Th64:
theorem Th65:
theorem Th66:
theorem Th67:
theorem Th68:
:: deftheorem defines dl. SCMRING3:def 1 :
theorem Th69:
theorem Th70:
theorem