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Proof step 52 from proof junkrefs-null-01 (previous step)

is_array(str, r, st) ∧ st[r -- _type] .type ≤ ty, is_array(str, r, st), st[r -- _type] .type ≤ ty, ∀ str, refs0, ty, st. junkrefs(str, acc + jvmref ' + refs0, ty, st) ↔ junkrefs(str, acc, ty, st) ⊦ junkrefs(str, (r ' + acc) + jvmref ' + refs0, ty, st) ↔ acc ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ acc .first = st[r -- i '] .refval ∧ junkrefs(str, acc, st[r -- _type] .type .type, st)), r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 51:
is_array(str, r, st), st[r -- _type] .type ≤ ty, ∀ str, refs0, ty, st. junkrefs(str, acc + jvmref ' + refs0, ty, st) ↔ junkrefs(str, acc, ty, st) ⊦ r = jvmref, junkrefs(str, (r ' + acc) + jvmref ' + refs0, ty, st) ↔ acc ≠ [] ∧ (∃ i. ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) ∧ acc .first = st[r -- i '] .refval ∧ junkrefs(str, acc, st[r -- _type] .type .type, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]