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Proof step 20 from proof prime-43 (previous step)

43 % i = 0, 1 < i, 0 < i, i * i ≤ 43, i < 3 ⊦ i = 5, i = 6, 4 = i, i = 3

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-basic1 inst: name: ls-rec seq: ⊦ i ≠ j -1 → (i < j ↔ i < j -1) subst: [j, i] → [3, i] flags: rewrite

Additional information

Used simplifier rules: two-ls: ⊦ 0 < j → (j < 2 ↔ j = 1); from specification int-basic1%one-01: ⊦ i = 1 → j % i = 0; from specification int-div%one-01: ⊦ i = 1 → i * j = j; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult%lf-02: ⊦ i < j ∧ j = i0 → i < i0; (forward) from specification int-basic1 Used terms: 3, i