Description: A toset is a linear order. (Contributed by Mario Carneiro, 9-Sep-2015)
Ref | Expression | ||
---|---|---|---|
Hypothesis | istsr.1 | |
|
Assertion | tsrlin | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | istsr.1 | |
|
2 | 1 | istsr2 | |
3 | 2 | simprbi | |
4 | breq1 | |
|
5 | breq2 | |
|
6 | 4 5 | orbi12d | |
7 | breq2 | |
|
8 | breq1 | |
|
9 | 7 8 | orbi12d | |
10 | 6 9 | rspc2v | |
11 | 3 10 | syl5com | |
12 | 11 | 3impib | |