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Proof step 9 from proof add-update-same (previous step)

∀ r, st, class. update(r, fis0, st[r -- _type, typeval(mkclasstype(class))]) = addobj(r, class, fis0, st) ⊦ update(r, fv + fis0, st[r -- _type, typeval(mkclasstype(class))]) = addobj(r, class, fv + fis0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ addobj(r, class1, fv ' + fis, st) = (addobj(r, class1, fis, st)[r -- fv .1, fv .2])
Proof step 8:
∀ r, st, class. update(r, fis0, st[r -- _type, typeval(mkclasstype(class))]) = addobj(r, class, fis0, st) ⊦ update(r, fv ' + fis0, st[r -- _type, typeval(mkclasstype(class))]) = (addobj(r, class, fis0, st)[r -- fv .1, fv .2])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1], [CSIMPSEQ : ⊦ fv + fis = fv ' + fis])]]