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Proof step 17 from proof finz-add-bigger (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ 2^ (m + n) = 2^ m * 2^ n
Proof step 16:
(2^ #fz(m + 2^ #fz(m)) * 2^ n) * lead(m) + 2^ #fz(m + 2^ #fz(m)) * 2^ n = 2^ #fz(m + 2^ #fz(m)) * lead(m + 2^ #fz(m)), odd(lead(m)), odd(lead(m + 2^ #fz(m))) ⊦

Rule argument

[x0lemmaarg: spec-name: nat-pot instance-name: lemma-name: pot2-add antecedent: succedent: 2^ (m + n) = 2^ m * 2^ n substlist: [n, m] → [n, #fz(m + 2^ #fz(m))] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 0, 1, 0, 1, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (n, #fz(m + 2^ #fz(m)))]]