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Proof step 29 from proof validstatfields-put-statfield-06 (previous step)

initdone(class, st) ⊦ (∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st[jvmref -- mkfs(class0, void_type, `initstate' .field) ', val])) ↔ (∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st)), class0 = class

User applied rule case distinction

And obtained the following new goals

Proof step 15:
∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st[jvmref -- mkfs(class0, void_type, `initstate' .field) ', val]), initdone(class, st) ⊦ ∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st), class0 = class
Proof step 28:
∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st), initdone(class, st) ⊦ ∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st[jvmref -- mkfs(class0, void_type, `initstate' .field) ', val]), class0 = class

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]