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Proof step 15 from proof split-unique (previous step)

even(n), lead(n) * 2 ^ #fz(n) = lead(m) * 2 ^ #fz(m), ∀ n0, m. n0 < n → (lead(n0) * 2 ^ #fz(n0) = lead(m) * 2 ^ #fz(m) → m = n0) ⊦ m = n

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ even(n) ↔ (∃ m. m + m = n)
Proof step 14:
∃ m. m + m = n, lead(n) * 2 ^ #fz(n) = lead(m) * 2 ^ #fz(m), ∀ n0, m. n0 < n → (lead(n0) * 2 ^ #fz(n0) = lead(m) * 2 ^ #fz(m) → m = n0) ⊦ m = n

Rule argument

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