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Proof step 999 from proof bitsand-cast (previous step)

¬(¬ true ∈ bits1 ∧ (# bits1 ≤ # bits0 ∨ bits0.first) ∧ bits1 ≠ [] ∧ bits0 ≠ []), mklist(false, # bits1) = bits1, # bits0 ≤ # bits1, bits0.first ⊦ bits1 = [], bits2 + bits1 = [], bits1 = lastn(# bits1, fillsgn(# bits1, bits2 + bitsand(bits1, bits0))), bits0 = []

User applied rule prop simplification

And obtained the following new goals

Proof step 1000:
mklist(false, # bits1) = bits1, # bits0 ≤ # bits1, bits0.first ⊦ ¬ true ∈ bits1 ∧ (# bits1 ≤ # bits0 ∨ bits0.first) ∧ bits1 ≠ [] ∧ bits0 ≠ [], bits1 = [], bits2 + bits1 = [], bits1 = lastn(# bits1, fillsgn(# bits1, bits2 + bitsand(bits1, bits0))), bits0 = []

Rule argument

pos: left 1

Proof step 999 from proof bitsand-cast (previous step)

User applied rule prop simplification

And obtained the following new goals

Rule argument

Additional information