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Proof step 19 from proof ac-in-06 (previous step)

∀ class1, class2, ty, fieldvar, st. class1 = class2 ∨ (jvmref -- mkfs(class1, ty, fieldvar) ' ∈ addclass(class2, fis0, st) ↔ jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st) ⊦ class1 = class2, jvmref -- mkfs(class1, ty, fieldvar) ' ∈ addclass(class2, fis0, st) ↔ jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st, class = class2

User applied rule case distinction

And obtained the following new goals

Proof step 16:
jvmref -- mkfs(class1, ty, fieldvar) ' ∈ addclass(class2, fis0, st), ∀ class1, class2, ty, fieldvar, st. class1 = class2 ∨ (jvmref -- mkfs(class1, ty, fieldvar) ' ∈ addclass(class2, fis0, st) ↔ jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st) ⊦ jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st, class1 = class2, class = class2
Proof step 18:
jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st, ∀ class1, class2, ty, fieldvar, st. class1 = class2 ∨ (jvmref -- mkfs(class1, ty, fieldvar) ' ∈ addclass(class2, fis0, st) ↔ jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st) ⊦ jvmref -- mkfs(class1, ty, fieldvar) ' ∈ addclass(class2, fis0, st), class1 = class2, class = class2

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]