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Proof step 37 from proof bitsor-sgn-in (previous step)

⊦ bits = [], bits0 = [], boolvar ∈ bitsor(false ', bits0) ↔ boolvar ∈ bitsor(bits, bits0), true ∈ bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 38:
⊦ bits0 ≠ [] ∧ bits = false ' → bitsor(bits, bits0) = bits0
Proof step 39:
bits0 ≠ [] ∧ false ' = false ' ⊦ bits = [], bits0 = [], boolvar ∈ bits0 ↔ boolvar ∈ bitsor(bits, bits0), true ∈ bits

Rule argument

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

Additional information

Used terms: bits0, false '