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Proof step 11 from proof ac-shift (previous step)

∀ class2, class1, st, ty, fieldvar, val. class2 = class1 ∨ (addclass(class1, fis0, st)[jvmref -- mkfs(class2, ty, fieldvar) ', val]) = addclass(class1, fis0, st[jvmref -- mkfs(class2, ty, fieldvar) ', val]) ⊦ class2 = class1, (addclass(class1, fis0, st)[jvmref -- mkfs(class1, ty0, fieldvar0) ', val0][jvmref -- mkfs(class2, ty, fieldvar) ', val]) = (addclass(class1, fis0, st[jvmref -- mkfs(class2, ty, fieldvar) ', val])[jvmref -- mkfs(class1, ty0, fieldvar0) ', val0])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ rk ≠ rk0 → (st[rk0, val][rk, val0]) = (st[rk, val0][rk0, val])
Proof step 10:
jvmref -- mkfs(class2, ty, fieldvar) ' ≠ jvmref -- mkfs(class1, ty0, fieldvar0) ', ∀ class2, class1, st, ty, fieldvar, val. class2 = class1 ∨ (addclass(class1, fis0, st)[jvmref -- mkfs(class2, ty, fieldvar) ', val]) = addclass(class1, fis0, st[jvmref -- mkfs(class2, ty, fieldvar) ', val]) ⊦ class2 = class1, (addclass(class1, fis0, st)[jvmref -- mkfs(class2, ty, fieldvar) ', val][jvmref -- mkfs(class1, ty0, fieldvar0) ', val0]) = (addclass(class1, fis0, st[jvmref -- mkfs(class2, ty, fieldvar) ', val])[jvmref -- mkfs(class1, ty0, fieldvar0) ', val0])

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk, val0]) = (st[rk, val0][rk0, val]) ,[val0, rk, val, rk0, st] → [val, jvmref -- mkfs(class2, ty, fieldvar) ', val0, jvmref -- mkfs(class1, ty0, fieldvar0) ', addclass(class1, fis0, st)] ,F ,store ,javastore ,rew ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ fs ' = fs0 ' ↔ fs = fs0], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) = mkfs(class0, ty0, fieldvar0) ↔ class = class0 ∧ ty = ty0 ∧ fieldvar = fieldvar0])], [EXTRATERMS : (val, jvmref -- mkfs(class2, ty, fieldvar) ', val0, jvmref -- mkfs(class1, ty0, fieldvar0) ', addclass(class1, fis0, st))]]