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Proof step 45 from proof validrefs-putbyte-01 (previous step)

refs0 = r1 + refs, st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), okbytearray(r, st), validrefs(str, refs0, ty0, st[r -- i ', byteval(by)]), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), ∀ by, i, ty, str, st, r, refs1. # refs1 < # (r0 ' + refs0) → (okbytearray(r, st) ∧ validrefs(str, refs1, ty, st[r -- i ', byteval(by)]) → validrefs(str, refs1, ty, st)) ⊦ refs0 = [], r0 = jvmref, ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ r1 = st[r0 -- fs '] .refval ∧ validrefs(str, refs0, fs .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), okbytearray(r, st), validrefs(str, r1 ' + refs, ty0, st[r -- i ', byteval(by)]), ∀ by, i, ty, str, st, r, refs1. # refs1 < # (r0 ' + (r1 + refs)) → (okbytearray(r, st) ∧ validrefs(str, refs1, ty, st[r -- i ', byteval(by)]) → validrefs(str, refs1, ty, st)) ⊦ r0 = jvmref, ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ r1 = st[r0 -- fs '] .refval ∧ validrefs(str, st[r0 -- fs '] .refval ' + refs, fs .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]