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Proof step 42 from proof fits-subset (previous step)

r -- _length ∈ st0 ∧ st0 ⊆ st, st[r -- i '] = refval(r0), r -- _type ∈ st0, is_array(str, r, st0), st0 ⊆ st, fits(r0, sks0, st), is_arraytype(st0[r -- _type] .type), i < st0[r -- _length] .intval, r ∈ st0, 0 < st0[r -- _length] .intval, 0 ≤ i, ∀ st0, st, r, str. st0 ⊆ st ∧ fits(r, sks0, st) → junkref(str, r, st0) ∨ fits(r, sks0, st0) ⊦ r = jvmref, junkref(str, r, st0), is_referencevalue(st0[r -- i ']) ∧ ¬ st0[r -- _length] .intval ≤ i ∧ fits(st0[r -- i '] .refval, sks0, st0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 41:
st[r -- i '] = refval(r0), r -- _length ∈ st0, r -- _type ∈ st0, is_array(str, r, st0), st0 ⊆ st, fits(r0, sks0, st), is_arraytype(st0[r -- _type] .type), i < st0[r -- _length] .intval, r ∈ st0, 0 ≤ i, 0 < st0[r -- _length] .intval, ∀ st0, st, r, str. st0 ⊆ st ∧ fits(r, sks0, st) → junkref(str, r, st0) ∨ fits(r, sks0, st0) ⊦ r = jvmref, junkref(str, r, st0), is_referencevalue(st0[r -- i ']) ∧ fits(st0[r -- i '] .refval, sks0, st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)])]]