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Proof step 15 from proof int2bits-falsein-01 (previous step)

uint2bits(~ i) = false ' + true ' + bits0, bitsinvert(uint2bits(~ i)) +1 = true ' + true ' + bits0, i < 0, i < ~1, false ∈ uint2bits(~ i) ⊦ true ∈ bits0, false ∈ bits0

User applied rule cut formula

And obtained the following new goals

Proof step 16:
bits0 = [], uint2bits(~ i) = false ' + true ' + bits0, bitsinvert(uint2bits(~ i)) +1 = true ' + true ' + bits0, i < 0, i < ~1, false ∈ uint2bits(~ i) ⊦ true ∈ bits0, false ∈ bits0

Rule argument

fma: bits0 = []

Additional information

Used simplifier rules: ⊦ ¬ true ∈ bits ∧ bits ≠ [] → (¬ false ∈ bits ↔ false); Used formulas: bits0 = []