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Proof step 25 from proof finz-add-bigger (previous step)

odd(lead(m + 2^ #fz(m))), odd(lead(m)), (m + 2^ #fz(m)) + 1 = 2^ #fz(m + 2^ #fz(m)) * lead(m + 2^ #fz(m)), m + 1 = 2^ #fz(m) * lead(m), #fz(m + 2^ #fz(m)) ≤ #fz(m) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ m ≤ n ↔ (∃ n0. m + n0 = n)
Proof step 24:
odd(lead(m + 2^ #fz(m))), odd(lead(m)), (m + 2^ #fz(m)) + 1 = 2^ #fz(m + 2^ #fz(m)) * lead(m + 2^ #fz(m)), m + 1 = 2^ #fz(m) * lead(m), ∃ n0. #fz(m + 2^ #fz(m)) + n0 = #fz(m) ⊦

Rule argument

[x0lemmaarg: spec-name: nat instance-name: lemma-name: le-addex antecedent: succedent: m ≤ n ↔ (∃ n0. m + n0 = n) substlist: [n, m] → [#fz(m), #fz(m + 2^ #fz(m))] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 4)) dummy: () ]

Additional information

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