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Proof step 13 from proof validrefs-applast-array (conclusion)

⊦ validrefs(str, refs + r ', ty, st) ∧ st[r -- i '] .refval = r0 ∧ is_array(str, r, st) ∧ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ st[r0 -- _type] .type ≤ st[r -- _type] .type .type ∧ is_valid_ref(str, r0, st) ∧ type∃(str, st[r0 -- _type] .type) → validrefs(str, refs + r ' + r0 ', ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
validrefs(str, refs + r ', ty, st), is_array(str, r, st), i < st[r -- _length] .intval, st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type, is_valid_ref(str, st[r -- i '] .refval, st), type∃(str, st[st[r -- i '] .refval -- _type] .type), 0 ≤ i, 0 < st[r -- _length] .intval ⊦ validrefs(str, refs + r ' + st[r -- i '] .refval ', ty, st)

Rule argument

[emptyarg]

Additional information

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