Description: If the alternative value of the operation on an ordered pair is the empty set, the operation's value at this ordered pair is the empty set. (Contributed by Alexander van der Vekens, 26-May-2017)
Ref | Expression | ||
---|---|---|---|
Assertion | aov0ov0 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | afv0fv0 | ||
2 | df-aov | ||
3 | 2 | eqeq1i | |
4 | df-ov | ||
5 | 4 | eqeq1i | |
6 | 1 3 5 | 3imtr4i |