| ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → r -- j0 ' ∈ st[r0 -- j ', val], i ≤ j ⊦ ∀ j. 0 ≤ j ∧ j < i → r -- j ' ∈ st |
j0 < j, 0 < i, 0 ≤ j0, i ≤ j, j0 < i, 0 < j, ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → r -- j0 ' ∈ st[r0 -- j ', val] ⊦ r -- j0 ' ∈ st
[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 < i → 0 < j], [CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPFORWARD : ⊦ i < j ∧ j ≤ j0 → i < j0])]]