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Proof step 25 from proof ac-in-03 (previous step)

jvmref -- _type ∈ addclass(class1, fv ' + fis0, st), jvmref ∈ addclass(class1, fv ' + fis0, st), ∀ class, st0. jvmref -- _type ∈ addclass(class, fis0, st0) ∧ jvmref ∈ addclass(class, fis0, st0) → jvmref -- _type ∈ st0 ⊦ jvmref -- _type ∈ st, _type ∈ fv ', _type ∈ fis0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class → addclass(class, fv ' + fis, st) = addclass(class, fis, st)
Proof step 16:
¬ (is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class1), jvmref -- _type ∈ addclass(class1, fv ' + fis0, st), jvmref ∈ addclass(class1, fv ' + fis0, st), ∀ class, st0. jvmref -- _type ∈ addclass(class, fis0, st0) ∧ jvmref ∈ addclass(class, fis0, st0) → jvmref -- _type ∈ st0 ⊦ jvmref -- _type ∈ st, _type ∈ fv ', _type ∈ fis0
Proof step 24:
is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class1, jvmref -- _type ∈ addclass(class1, fis0, st), jvmref ∈ addclass(class1, fis0, st), ∀ class, st0. jvmref -- _type ∈ addclass(class, fis0, st0) ∧ jvmref ∈ addclass(class, fis0, st0) → jvmref -- _type ∈ st0 ⊦ jvmref -- _type ∈ st, _type ∈ fv ', _type ∈ fis0

Rule argument

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

Additional information

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