4orass

Theorem.

Arguments:

phi (pr), psi (pr), chi (pr), theta (pr),

Assertions:

(((phiveepsi)vee(chiveetheta))leftrightarrow((phiveechi)vee(psiveetheta)))

Proof:

Hyp Ref Line Expr
or12ass1((psivee(chiveetheta))leftrightarrow(chivee(psiveetheta)))
1bi.bldor>2((phivee(psivee(chiveetheta)))leftrightarrow(phivee(chivee(psiveetheta))))
orass3(((phiveepsi)vee(chiveetheta))leftrightarrow(phivee(psivee(chiveetheta))))
orass4(((phiveechi)vee(psiveetheta))leftrightarrow(phivee(chivee(psiveetheta))))
2, 3, 4<2bitr5(((phiveepsi)vee(chiveetheta))leftrightarrow((phiveechi)vee(psiveetheta)))