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Proof step 15 from proof validstatfield-level-expand (previous step)

⊦ (∀ class. tdname∃(str, class) ∧ initdone(class, st) → validstatfields(str, class, st)) ↔ (∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st))

User applied rule case distinction

And obtained the following new goals

Proof step 9:
∀ class. tdname∃(str, class) ∧ initdone(class, st) → validstatfields(str, class, st) ⊦ ∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st)
Proof step 14:
∀ class, sk. tdname∃(str, class) ∧ initdone(class, st) ∧ sk ∈ statfields(class) → validstatfield(str, sk, st) ⊦ ∀ class. tdname∃(str, class) ∧ initdone(class, st) → validstatfields(str, class, st)

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]