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Proof step 11 from proof validrefs-put-last (previous step)

is_obj(str, r, st), st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), is_obj(str, r, st), st[r -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_valid_ref(str, r1, st[r1 -- sk, val]), st[r1 -- _type] .type ≤ ty0 ⊦ sk = _type, r1 = r, r = jvmref, r1 = jvmref, ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ st[r -- fs '] .refval ≠ jvmref ∧ (¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r -- fs '] .refval, st)), is_valid_ref(str, r1, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
is_obj(str, r, st), st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), is_obj(str, r, st), st[r -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_valid_ref(str, r1, st[r1 -- sk, val]), st[r1 -- _type] .type ≤ ty0 ⊦ sk = _type, r1 = r, r = jvmref, r1 = jvmref, ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ st[r -- fs '] .refval ≠ jvmref ∧ (¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r -- fs '] .refval, st)), is_valid_ref(str, r1, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]