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Proof step 14 from proof finz-add-bigger (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
⊦ odd(2^ n) ↔ n = 0
Proof step 10:
⊦ even(2^ n) ↔ n ≠ 0
Proof step 13:
2^ n + lead(m) * 2^ n = lead(m + 2^ #fz(m)), odd(lead(m)), odd(lead(m) * 2^ n) ⊦ n = 0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ odd(n) → ¬ even(n)], [CSIMPSEQ : ⊦ m * n = n * m], [CSIMPSEQ : ⊦ m0 * m * n = (m0 * m) * n], [CSIMPSEQ : ⊦ m0 * 1 = m0], [CSIMPSEQ : ⊦ 2^ 0 = 1])]]