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Proof step 28 from proof ac-out (previous step)

is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class1, ∀ class1, st, val. class1 = `java.lang.Object' .class ∨ addclass(class1, fis0, st[_out, val]) = (addclass(class1, fis0, st)[_out, val]) ⊦ class1 = `java.lang.Object' .class, addclass(class1, fis0, st[_out, val]) = (addclass(class1, fv ' + fis0, st)[_out, val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
⊦ is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class → addclass(class, fv ' + fis, st) = addclass(class, fis, st)
Proof step 27:
is_fskey(fv .1), ∀ class1, st, val. class1 = `java.lang.Object' .class ∨ addclass(class1, fis0, st[_out, val]) = (addclass(class1, fis0, st)[_out, val]) ⊦ fv .1 .fs .class = class1, class1 = `java.lang.Object' .class, addclass(class1, fis0, st[_out, val]) = (addclass(class1, fis0, st)[_out, val])

Rule argument

[emptyarg]

Additional information

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