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Proof step 6 from proof extension-01 (previous step)

st[r -- _length] .intval ≤ 0 ∧ st0[r0 -- _length] .intval ≤ 0 ∨ 0 ≤ st[r -- _length] .intval ∧ st[r -- _length] .intval = st0[r0 -- _length] .intval ∧ (∀ j. ¬ j < 0 ∧ ¬ st[r -- _length] .intval ≤ j → st[r -- j '] .byteval = st0[r0 -- j '] .byteval) ⊦ ¬ st[r -- _length] .intval < 0 ∧ st[r -- _length] .intval = st0[r0 -- _length] .intval ∧ (0 ≤ j ∧ j < st[r -- _length] .intval → st[r -- j '] .byteval = st0[r0 -- j '] .byteval), ¬ 0 < st[r -- _length] .intval ∧ ¬ 0 < st0[r0 -- _length] .intval

User applied rule case distinction

And obtained the following new goals

Proof step 5:
0 ≤ st[r -- _length] .intval ∧ st[r -- _length] .intval = st0[r0 -- _length] .intval ∧ (∀ j. ¬ j < 0 ∧ ¬ st[r -- _length] .intval ≤ j → st[r -- j '] .byteval = st0[r0 -- j '] .byteval) ⊦ ¬ st[r -- _length] .intval < 0 ∧ st[r -- _length] .intval = st0[r0 -- _length] .intval ∧ (0 ≤ j ∧ j < st[r -- _length] .intval → st[r -- j '] .byteval = st0[r0 -- j '] .byteval), ¬ 0 < st[r -- _length] .intval ∧ ¬ 0 < st0[r0 -- _length] .intval

Rule argument

[CASEDARG : pos: left 1, ()]

Additional information

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