Description: The slot for the "less than or equal to" ordering is not the slot for the ring multiplication operation in an extensible structure. Formerly part of proof for opsrmulr . (Contributed by AV, 1-Nov-2024)
Ref | Expression | ||
---|---|---|---|
Assertion | plendxnmulrndx | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3re | |
|
2 | 3lt10 | |
|
3 | 1 2 | gtneii | |
4 | plendx | |
|
5 | mulrndx | |
|
6 | 4 5 | neeq12i | |
7 | 3 6 | mpbir | |