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Proof step 21 from proof finz-bigger (previous step)

odd(n), 2 * m0 + 2 = n * 2^ n0, #fz(m0) + 1 < n0, ∀ m1, n, n0. m1 < m0 + m0 + 1 → (m1 + 1 = n * 2^ n0 ∧ #fz(m1) < n0 → false) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ odd(n) ↔ (∃ m. n = m + m + 1)
Proof step 20:
∃ m. n = m + m + 1, 2 * m0 + 2 = n * 2^ n0, #fz(m0) + 1 < n0, ∀ m1, n, n0. m1 < m0 + m0 + 1 → (m1 + 1 = n * 2^ n0 ∧ #fz(m1) < n0 → false) ⊦

Rule argument

[x0lemmaarg: spec-name: nat-even instance-name: lemma-name: oex antecedent: succedent: odd(n) ↔ (∃ m. n = m + m + 1) substlist: [n] → [n] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (n)]]