eqneqd

Theorem.

Arguments:

a (obj), b (obj), c (obj), d (obj), phi (pr),

Hypotheses:

(phito((aeqb)leftrightarrow(ceqd)))

Assertions:

(phito((aneb)leftrightarrow(cned)))

Proof:

Hyp Ref Line Expr
Hypo1(phito((aeqb)leftrightarrow(ceqd)))
1bi.bldnegd2(phito(lnot(aeqb)leftrightarrowlnot(ceqd)))
df-neq3((aneb)leftrightarrowlnot(aeqb))
df-neq4((cned)leftrightarrowlnot(ceqd))
2, 3, 4<2bitrg5(phito((aneb)leftrightarrow(cned)))