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Proof step 55 from proof validrefs-putbyte-01 (previous step)

is_obj(str, r0, st[r -- i ', byteval(by)]) ∧ (st[r -- i ', byteval(by)][r0 -- _type]) .type ≤ ty, okbytearray(r, st), refs0 = [] ∨ (∃ fs. fs ' ∈ instfields((st[r -- i ', byteval(by)][r0 -- _type]) .type .class) ∧ is_referencevalue(st[r -- i ', byteval(by)][r0 -- fs ']) ∧ refs0 .first = (st[r -- i ', byteval(by)][r0 -- fs ']) .refval ∧ validrefs(str, refs0, fs .type, st[r -- i ', byteval(by)])), is_valid_ref(str, r0, st[r -- i ', byteval(by)]), 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 54:
okbytearray(r, st), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, refs0 = [] ∨ fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ refs0 .first = st[r0 -- fs '] .refval ∧ validrefs(str, refs0, fs .type, st[r -- i ', byteval(by)]), ∀ 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 : ([CSIMPSEQ : ⊦ (st[r -- i ', val][r0 -- fs ']) = st[r0 -- fs ']], [CSIMPSEQ : ⊦ is_obj(str, r0, st) → is_valid_ref (str, r0, st[r -- i ', val])], [CSIMPSEQ : ⊦ (st[r -- i ', val][r0 -- _type]) = st[r0 -- _type]], [CSIMPSEQ : ⊦ is_obj (str, r, st[r0 -- i ', val]) ↔ is_obj(str, r, st)])]]