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Proof step 13 from proof finz-add-bigger (previous step)

2^ n + lead(m) * 2^ n = lead(m + 2^ #fz(m)), odd(lead(m)), odd(lead(m) * 2^ n) ⊦ n = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ odd(m * n) ↔ odd(m) ∧ odd(n)
Proof step 12:
⊦ odd(2^ n) ↔ n = 0

Rule argument

[x0lemmaarg: spec-name: nat-even instance-name: lemma-name: odd-mult antecedent: succedent: odd(m * n) ↔ odd(m) ∧ odd(n) substlist: [n, m] → [2^ n, lead(m)] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 2)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (2^ n, lead(m))]]