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Proof step 2 from proof validref-forward-array-01 (previous step)

validref(str, r, mkarraytype(ty), st0), i < st0[r -- _length] .intval, 0 ≤ i, 0 < st0[r -- _length] .intval ⊦ r = jvmref, validref(str, st0[r -- i '] .refval, ty, st0)

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
⊦ r ≠ jvmref ∧ validref(str, r, mkarraytype(ty), st0) ∧ 0 ≤ i ∧ i < st0[r -- _length] .intval → validref(str, st0[r -- i '] .refval, ty, st0)

Rule argument

[LEMMAARG : validref-forward-array, [r, str, ty, st0, i] → [r, str, ty, st0, i]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)])], [EXTRATERMS : (r, str, ty, st0, i)]]