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Proof step 32 from proof addclass-switch-01 (previous step)

∀ r, class, st, sk, val. r = jvmref ∨ addclass(class, fis0, st[r -- sk, val]) = (addclass(class, fis0, st)[r -- sk, val]) ⊦ r = jvmref, addclass(class, fv ' + fis0, st[r -- sk, val]) = (addclass(class, fv ' + fis0, st)[r -- sk, val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class → addclass(class, fv ' + fis, st) = addclass(class, fis, st)
Proof step 22:
¬ (is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class), ∀ r, class, st, sk, val. r = jvmref ∨ addclass(class, fis0, st[r -- sk, val]) = (addclass(class, fis0, st)[r -- sk, val]) ⊦ r = jvmref, addclass(class, fv ' + fis0, st[r -- sk, val]) = (addclass(class, fv ' + fis0, st)[r -- sk, val])
Proof step 31:
is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class, ∀ r, class, st, sk, val. r = jvmref ∨ addclass(class, fis0, st[r -- sk, val]) = (addclass(class, fis0, st)[r -- sk, val]) ⊦ r = jvmref, addclass(class, fis0, st[r -- sk, val]) = (addclass(class, fv ' + fis0, st)[r -- sk, val])

Rule argument

[crewrite-arg: ac-no1 , F , [st, fis, fv, class] → [st[r -- sk, val], fis0, fv, class] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- sk, val], fis0, fv, class)]]