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Proof step 51 from proof validrefs-putbyte-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 50:
refs0 .first = st[r0 -- mkfs(class, ty0, fieldvar) '] .refval, st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), okbytearray(r, st), validrefs(str, refs0, ty0, st[r -- i ', byteval(by)]), is_referencevalue(st[r0 -- mkfs(class, ty0, fieldvar) ']), 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)) ⊦ r0 = jvmref, validrefs(str, r0 ' + refs0, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]