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Proof step 7 from proof validref-forward (previous step)

st0[r -- mkfs(class0, ty, fieldvar) '] = refval(r0), st0[r -- _type] .type ≤ mkclasstype(class), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), is_reftype(ty), is_obj(str, r, st0) ⊦ r0 = jvmref, r = jvmref, st0[r0 -- _type] .type ≤ ty ∧ ¬ junkref(str, r0, st0), mkfs(class0, ty, fieldvar) ' ∈ instfields(st0[r -- _type] .type .class) ∧ (¬ st0[r0 -- _type] .type ≤ ty ∨ junkref(str, r0, st0))

User applied rule case distinction

And obtained the following new goals

Proof step 6:
st0[r -- mkfs(class0, ty, fieldvar) '] = refval(r0), st0[r -- _type] .type ≤ mkclasstype(class), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), is_reftype(ty), is_obj(str, r, st0) ⊦ mkfs(class0, ty, fieldvar) ' ∈ instfields(st0[r -- _type] .type .class), r0 = jvmref, r = jvmref, st0[r0 -- _type] .type ≤ ty ∧ ¬ junkref(str, r0, st0)

Rule argument

[CASEDARG : pos: right 4, ()]

Additional information

[[CONCRETESIMPRULES : ()]]