Description: For all real numbers there is a smaller real number. (Contributed by AV, 5-Sep-2020)
Ref | Expression | ||
---|---|---|---|
Assertion | reltre | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | peano2rem | |
|
2 | breq1 | |
|
3 | 2 | adantl | |
4 | ltm1 | |
|
5 | 1 3 4 | rspcedvd | |
6 | 5 | rgen | |