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Proof step 5 from proof finz-bigger (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ even(n) ↔ (∃ m. m + m = n)
Proof step 4:
∃ m0. m0 + m0 = m, m + 1 = n * 2^ n0, #fz(m) < n0, ∀ m1, n, n0. m1 < m → (m1 + 1 = n * 2^ n0 ∧ #fz(m1) < n0 → false) ⊦

Rule argument

[x0lemmaarg: spec-name: nat-even instance-name: lemma-name: Even antecedent: succedent: even(n) ↔ (∃ m. m + m = n) substlist: [n] → [m] 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 : (m)]]