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Proof step 22 from proof ac-shift-02 (previous step)

¬ (is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class1), ∀ class1, st, ty, fieldvar, val. (addclass(class1, fis0, st)[jvmref -- mkfs(class1, ty, fieldvar) ', val]) = addclass(class1, fis0[mkfs(class1, ty, fieldvar) ', val], st) ⊦ (addclass(class1, fv ' + fis0, st)[jvmref -- mkfs(class1, ty, fieldvar) ', val]) = addclass(class1, (fv ' + fis0)[mkfs(class1, ty, fieldvar) ', val], st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
∀ class1, st, ty, fieldvar, val. (addclass(class1, fis0, st)[jvmref -- mkfs(class1, ty, fieldvar) ', val]) = addclass(class1, fis0[mkfs(class1, ty, fieldvar) ', val], st) ⊦ (addclass(class1, fv ' + fis0, st)[jvmref -- mkfs(class1, ty, fieldvar) ', val]) = addclass(class1, (fv ' + fis0)[mkfs(class1, ty, fieldvar) ', val], st), ¬ is_indexkey(fv .1) ∧ fv .1 .fs .class ≠ class1

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)])]]