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Proof step 14 from proof addclass-validFields (previous step)

unique_al(fis) ⊦ r = jvmref, (∀ sk. sk ∈ fis .keys → r -- sk ∈ addclass(class, fis0, st)) ↔ (∀ sk. sk ∈ fis .keys → r -- sk ∈ st), _length ∈ fis, _type ∈ fis

User applied rule case distinction

And obtained the following new goals

Proof step 10:
∀ sk. sk ∈ fis .keys → r -- sk ∈ addclass(class, fis0, st), unique_al(fis) ⊦ ∀ sk. sk ∈ fis .keys → r -- sk ∈ st, r = jvmref, _length ∈ fis, _type ∈ fis
Proof step 13:
∀ sk. sk ∈ fis .keys → r -- sk ∈ st, unique_al(fis) ⊦ ∀ sk. sk ∈ fis .keys → r -- sk ∈ addclass(class, fis0, st), r = jvmref, _length ∈ fis, _type ∈ fis

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]