let S be non empty 1-sorted ; for R being Ring
for d1 being Data-Location of R
for i1 being Nat holds [7,<*i1*>,<*d1*>] in SCM-Instr S
let R be Ring; for d1 being Data-Location of R
for i1 being Nat holds [7,<*i1*>,<*d1*>] in SCM-Instr S
let d1 be Data-Location of R; for i1 being Nat holds [7,<*i1*>,<*d1*>] in SCM-Instr S
let i1 be Nat; [7,<*i1*>,<*d1*>] in SCM-Instr S
reconsider d1 = d1 as Element of SCM-Data-Loc by Th1, AMI_3:27;
[7,<*i1*>,<*d1*>] in SCM-Instr S
by SCMRINGI:11;
hence
[7,<*i1*>,<*d1*>] in SCM-Instr S
; verum