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Proof step 33 from proof validrefs-putbyte-01 (previous step)

0 ≤ i0 ∧ i0 < st[r0 -- _length] .intval ∧ is_referencevalue(st[r -- i ', byteval(by)][r0 -- i0 ']) ∧ refs0 .first = (st[r -- i ', byteval(by)][r0 -- i0 ']) .refval ∧ validrefs(str, refs0, st[r0 -- _type] .type .type, st[r -- i ', byteval(by)]), okbytearray(r, st), is_array(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), is_obj(str, r0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
refs0 .first = (st[r -- i ', byteval(by)][r0 -- i0 ']) .refval, i0 < st[r0 -- _length] .intval, is_referencevalue(st[r -- i ', byteval(by)][r0 -- i0 ']), validrefs(str, refs0, st[r0 -- _type] .type .type, st[r -- i ', byteval(by)]), okbytearray(r, st), is_array(str, r0, st[r -- i ', byteval(by)]), st[r0 -- _type] .type ≤ ty, 0 ≤ i0, 0 < st[r0 -- _length] .intval, ∀ 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), is_obj(str, r0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j])]]