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Proof step 27 from proof isobj-addclass (previous step)

st[r -- _type] = typeval(mkclasstype(class)) ⊦ r = jvmref, class = class0, r -- _type ∈ addclass(class0, fis, st) ∧ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, addclass(class0, fis, st))) ↔ r -- _type ∈ st ∧ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st))

User applied rule case distinction

And obtained the following new goals

Proof step 18:
r -- _type ∈ addclass(class0, fis, st) ∧ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, addclass(class0, fis, st))), st[r -- _type] = typeval(mkclasstype(class)) ⊦ r -- _type ∈ st ∧ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st)), r = jvmref, class = class0
Proof step 26:
r -- _type ∈ st ∧ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st)), st[r -- _type] = typeval(mkclasstype(class)) ⊦ r -- _type ∈ addclass(class0, fis, st) ∧ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, addclass(class0, fis, st))), r = jvmref, class = class0

Rule argument

[CASEDARG : pos: right 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]