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Proof step 32 from proof validstatfields-put-other-statfield (previous step)

mkfs(class1, ty0, fieldvar0) ' ∈ statfields(class0), initdone(class0, st), tdname∃(str, class0), ∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st) ⊦ class = `java.lang.Object' .class, tdname∃(str, class), validstatfield(str, mkfs(class1, ty0, fieldvar0) ', st[jvmref -- mkfs(class, ty, fieldvar) ', val]), (class ≠ class1 ∨ ty ≠ ty0 ∨ fieldvar ≠ fieldvar0) ∧ (ty ≠ void_type ∨ class ≠ class1 ∨ fieldvar ≠ `initstate' .field)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 31:
⊦ class ≠ class0 → ¬ mkfs(class0, ty, fieldvar) ' ∈ statfields(class)

Rule argument

[x0lemmaarg: spec-name: addfuns instance-name: lemma-name: statfields-same-class-01 antecedent: succedent: class ≠ class0 → ¬ mkfs(class0, ty, fieldvar) ' ∈ statfields(class) substlist: [class, fieldvar, ty, class0] → [class0, fieldvar0, ty0, class1] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (class0, fieldvar0, ty0, class1)]]