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Proof step 46 from proof junkrefs-null-01 (previous step)

∃ i. ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) ∧ r0 = st[r -- i '] .refval ∧ junkrefs(str, st[r -- i '] .refval ' + refs, st[r -- _type] .type .type, st), is_array(str, r, st), st[r -- _type] .type ≤ ty, ∀ str0, refs1, ty0, st0. junkrefs(str0, (r0 ' + refs) + jvmref ' + refs1, ty0, st0) ↔ junkrefs(str0, r0 ' + refs, ty0, st0) ⊦ ∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ r0 = st[r -- i '] .refval ∧ junkrefs(str, (st[r -- i '] .refval ' + refs) + jvmref ' + refs0, st[r -- _type] .type .type, st), r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 45:
is_referencevalue(st[r -- i ']), junkrefs(str, st[r -- i '] .refval ' + refs, st[r -- _type] .type .type, st), is_array(str, r, st), st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval, ∀ str0, refs1, ty0, st0. junkrefs(str0, (st[r -- i '] .refval ' + refs) + jvmref ' + refs1, ty0, st0) ↔ junkrefs(str0, st[r -- i '] .refval ' + refs, ty0, st0) ⊦ r = jvmref, ∃ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) ∧ st[r -- i '] .refval = st[r -- i0 '] .refval ∧ junkrefs(str, (st[r -- i0 '] .refval ' + refs) + jvmref ' + refs0, st[r -- _type] .type .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]