or12ass

Theorem.

Arguments:

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

Assertions:

((phivee(psiveechi))leftrightarrow(psivee(phiveechi)))

Proof:

Hyp Ref Line Expr
bcom121((lnotpsito(lnotphitochi))leftrightarrow(lnotphito(lnotpsitochi)))
df-or2((phiveechi)leftrightarrow(lnotphitochi))
2bi.bldim>3((lnotpsito(phiveechi))leftrightarrow(lnotpsito(lnotphitochi)))
df-or4((psiveechi)leftrightarrow(lnotpsitochi))
4bi.bldim>5((lnotphito(psiveechi))leftrightarrow(lnotphito(lnotpsitochi)))
1, 3, 5<2bitr<6((lnotphito(psiveechi))leftrightarrow(lnotpsito(phiveechi)))
df-or7((phivee(psiveechi))leftrightarrow(lnotphito(psiveechi)))
df-or8((psivee(phiveechi))leftrightarrow(lnotpsito(phiveechi)))
6, 7, 8<2bitr9((phivee(psiveechi))leftrightarrow(psivee(phiveechi)))