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Proof step 6 from proof is_valid_ref-field-in (previous step)

sk ∈ instfields(class), st[r -- _type] .type ≤ mkclasstype(class), is_valid_ref(r, st) ⊦ r = jvmref, r -- sk ∈ st, (¬ class+∃(str, st[r -- _type] .type .class) ∨ is_abstract(st[r -- _type] .type .class) ∨ ¬ is_obj(r, st)) ∧ ¬ is_array(str, r, st)

User applied rule case distinction

And obtained the following new goals

Proof step 4:
sk ∈ instfields(class), st[r -- _type] .type ≤ mkclasstype(class), is_valid_ref(r, st) ⊦ ¬ class+∃(str, st[r -- _type] .type .class) ∨ is_abstract(st[r -- _type] .type .class) ∨ ¬ is_obj(r, st), r = jvmref, r -- sk ∈ st
Proof step 5:
⊦ instfields(`java.lang.Object' .class) = []

Rule argument

[CASEDARG : pos: right 3, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_array(str, r, st) → ( st[r -- _type] .type ≤ mkclasstype(class) ↔ class = `java.lang.Object' .class)], [CSIMPSEQ : ⊦ ¬ sk ∈ []])]]