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Proof step 11 from proof int2bits-lelen-05 (previous step)

i < ~1, i < 0, 2 ≤ m ⊦ m = 0, m ≤ # int2bits(i) ↔ ¬ # int2bits(i) ≤ (m - 2) + 1

User applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
m = n0 + 2, i < ~1, i < 0, 2 ≤ m ⊦ m = 0, m ≤ # int2bits(i) ↔ ¬ # int2bits(i) ≤ n0 + 1

Rule argument

spec: nat inst: name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [m, 2, n] flags:

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: m, 2, n