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Proof step 76 from proof compatstatic-mode (previous step)

⊦ (∀ class. (class∃(str, class) ∨ interface∃(str, class)) ∧ initdone(class, st) → compatfields(str, jvmref, statfields(class), st[_mode, val])) ↔ (∀ class. tdname∃(str, class) ∧ initdone(class, st) → compatfields(str, jvmref, statfields(class), st))

User applied rule case distinction

And obtained the following new goals

Proof step 46:
∀ class. (class∃(str, class) ∨ interface∃(str, class)) ∧ initdone(class, st) → compatfields(str, jvmref, statfields(class), st[_mode, val]) ⊦ ∀ class. tdname∃(str, class) ∧ initdone(class, st) → compatfields(str, jvmref, statfields(class), st)
Proof step 75:
∀ class. tdname∃(str, class) ∧ initdone(class, st) → compatfields(str, jvmref, statfields(class), st) ⊦ ∀ class. (class∃(str, class) ∨ interface∃(str, class)) ∧ initdone(class, st) → compatfields(str, jvmref, statfields(class), st[_mode, val])

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]