eqneqi

Theorem.

Arguments:

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

Hypotheses:

((aeqb)leftrightarrow(ceqd))

Assertions:

((aneb)leftrightarrow(cned))

Proof:

Hyp Ref Line Expr
Hypo1((aeqb)leftrightarrow(ceqd))
1bi.bldneg2(lnot(aeqb)leftrightarrowlnot(ceqd))
df-neq3((aneb)leftrightarrowlnot(aeqb))
df-neq4((cned)leftrightarrowlnot(ceqd))
2, 3, 4<2bitr5((aneb)leftrightarrow(cned))