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Proof step 33 from proof junkref-ac (previous step)

∀ r, str, class, st. r = jvmref ∨ (junkref(str, r, addclass(class, fis0, st)) ↔ junkref(str, r, st)) ⊦ r = jvmref, junkref(str, r, addclass(class, fv ' + fis0, st)) ↔ junkref(str, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class → addclass(class, fv ' + fis, st) = addclass(class, fis, st)
Proof step 24:
¬ (is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class), ∀ r, str, class, st. r = jvmref ∨ (junkref(str, r, addclass(class, fis0, st)) ↔ junkref(str, r, st)) ⊦ r = jvmref, junkref(str, r, addclass(class, fv ' + fis0, st)) ↔ junkref(str, r, st)
Proof step 32:
is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class, ∀ r, str, class, st. r = jvmref ∨ (junkref(str, r, addclass(class, fis0, st)) ↔ junkref(str, r, st)) ⊦ r = jvmref, junkref(str, r, addclass(class, fis0, st)) ↔ junkref(str, r, st)

Rule argument

[speclemmaarg: , is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class → addclass(class, fv ' + fis, st) = addclass(class, fis, st) ,[st, fis, fv, class] → [st, fis0, fv, class] ,F ,addfuns , ,ac-no1 ]

Additional information

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