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Proof step 24 from proof ac-mode (previous step)

∀ class1, st. class1 = `java.lang.Object' .class ∨ (addclass(class1, fis0, st)[_mode]) = st[_mode] ⊦ class1 = `java.lang.Object' .class, (addclass(class1, fv ' + fis0, st)[_mode]) = st[_mode]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class → addclass(class, fv ' + fis, st) = addclass(class, fis, st)
Proof step 15:
¬ (is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class1), ∀ class1, st. class1 = `java.lang.Object' .class ∨ (addclass(class1, fis0, st)[_mode]) = st[_mode] ⊦ class1 = `java.lang.Object' .class, (addclass(class1, fv ' + fis0, st)[_mode]) = st[_mode]
Proof step 23:
is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class1, ∀ class1, st. class1 = `java.lang.Object' .class ∨ (addclass(class1, fis0, st)[_mode]) = st[_mode] ⊦ class1 = `java.lang.Object' .class, (addclass(class1, fis0, st)[_mode]) = st[_mode]

Rule argument

[crewrite-arg: ac-no1 , F , [st, fis, fv, class] → [st, fis0, fv, class1] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, fis0, fv, class1)]]