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Proof step 32 from proof bitsor-mklist-in (previous step)

boolvar ∈ bitsor(mklist(false, m), bits2) ↔ boolvar ∈ bitsor(false ', bits2), ∀ bits, boolvar0, boolvar, n, bits1. # bits1 < #(bits2 + boolvar1 ') → true → n = 0 ∨ bits1 = [] ∨ (boolvar ∈ bitsor(mklist(boolvar0, n) + bits, bits1) ↔ boolvar ∈ bitsor(boolvar0 ' + bits, bits1)) ⊦ bits2 = [], m = 0, boolvar ∈ bitsor(false ', bits2) ↔ boolvar ∈ bits2, boolvar ↔ boolvar1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 33:
⊦ bits0 ≠ [] ∧ bits = false ' → bitsor(bits, bits0) = bits0

Rule argument

name: or-rec-04 rotate: F subst: [bits0, bits] → [bits2, false ']

Additional information

Used terms: bits2, false '