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Proof step 4 from proof arrayref (previous step)

j < i, ∀ j. 0 ≤ j ∧ j < i → r -- j ' ∈ st[r0 -- fs ', val], 0 ≤ j, 0 < i ⊦ r -- j ' ∈ st

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
j < i, 0 ≤ j, 0 < i, ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → r -- j0 ' ∈ st ⊦ r -- j ' ∈ st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- i ' ∈ st[r0 -- fs ', val0] ↔ r -- i ' ∈ st], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]