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Proof step 2 from proof enc-zero-02 (previous step)

encode(n) = 0 ⊦ n = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-pair inst: name: enc-nat-neg seq: ⊦ n % 2 ≠ 0 → encode(n) = ~ n→i((n + 1) / 2) subst: [n] → [n] flags: rewrite, current

Additional information

Used simplifier rules: enc-nat-pos: ⊦ n % 2 = 0 → encode(n) = n→i(n / 2);%neg-10: ⊦ ~ i = 0 ↔ i = 0; from specification int-abs%nat2int-02: ⊦ n→i(n) = 0 ↔ n = 0; from specification intnat%two-zero-01-01: ⊦ m / 2 = 0 ↔ ¬ ¬(m = 0 ∨ m = 1); from specification nat-div%oz: ⊦ m + 1 ≠ 0; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2%one-03: ⊦ 1 = m + 1 ↔ m = 0; from specification nat-basic2 Used terms: n