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Proof step 13 from proof nouninit-put-03 (previous step)

⊦ ty = void_type, (∀ class0. class0 ∈ claset → ¬ initundone(class0, st[r -- mkfs(class, ty, fieldvar) ', val])) ↔ (∀ class. class ∈ claset → ¬ initundone(class, st))

User applied rule case distinction

And obtained the following new goals

Proof step 7:
∀ class0. class0 ∈ claset → ¬ initundone(class0, st[r -- mkfs(class, ty, fieldvar) ', val]) ⊦ ∀ class. class ∈ claset → ¬ initundone(class, st), ty = void_type
Proof step 12:
∀ class. class ∈ claset → ¬ initundone(class, st) ⊦ ∀ class0. class0 ∈ claset → ¬ initundone(class0, st[r -- mkfs(class, ty, fieldvar) ', val]), ty = void_type

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]