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Proof step 40 from proof validrefs-levelsubset-01 (previous step)

is_array(str, r, st) ∧ st[r -- _type] .type ≤ ty, st[r -- i '] = refval(r0), 0 ≤ i, 0 < st[r -- _length] .intval, is_array(str, r, st), is_array(str0, r, st), level⊆(str, str0), ∀ i. ¬ ( 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ st[r -- i '] .refval ≠ jvmref ∧ (¬ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∨ ¬ validref(str, st[r -- i '] .refval, st[r -- _type] .type .type, st))), st[r -- _type] .type ≤ ty0, st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, validrefs(str0, r0 ' + refs, st[r -- _type] .type .type, st), ∀ str1, str2, ty1, st0, ty2. level⊆(str1, str2) ∧ validrefs(str2, r0 ' + refs, ty1, st0) ∧ validref(str1, r0, ty2, st0) → validrefs(str1, r0 ' + refs, ty1, st0) ⊦ r = jvmref, validrefs(str, r0 ' + refs, st[r -- _type] .type .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : int-abs, , lels, ⊦ ¬ i < j ↔ j ≤ i], [CSIMPNAMEDSEQ : int-abs, , lels-01, ⊦ ¬ i ≤ j ↔ j < i])]]