Description: Structure product distance function. (Contributed by Mario Carneiro, 15-Sep-2015)
Ref | Expression | ||
---|---|---|---|
Hypotheses | prdsbas.p | |
|
prdsbas.s | |
||
prdsbas.r | |
||
prdsbas.b | |
||
prdsbas.i | |
||
prdsds.l | |
||
Assertion | prdsdsfn | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | prdsbas.p | |
|
2 | prdsbas.s | |
|
3 | prdsbas.r | |
|
4 | prdsbas.b | |
|
5 | prdsbas.i | |
|
6 | prdsds.l | |
|
7 | eqid | |
|
8 | xrltso | |
|
9 | 8 | supex | |
10 | 7 9 | fnmpoi | |
11 | 1 2 3 4 5 6 | prdsds | |
12 | 11 | fneq1d | |
13 | 10 12 | mpbiri | |