Higher-Order Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > HOLE Home > Th. List > ceq1 | Unicode version |
Description: Equality theorem for combination. |
Ref | Expression |
---|---|
ceq12.1 | |
ceq12.2 | |
ceq12.3 |
Ref | Expression |
---|---|
ceq1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ceq12.1 | . 2 | |
2 | ceq12.2 | . 2 | |
3 | ceq12.3 | . 2 | |
4 | 3 | ax-cb1 29 | . . 3 |
5 | 4, 2 | eqid 73 | . 2 |
6 | 1, 2, 3, 5 | ceq12 78 | 1 |
Colors of variables: type var term |
Syntax hints: ht 2 kc 5 ke 7 kbr 9 wffMMJ2 11 wffMMJ2t 12 |
This theorem was proved from axioms: ax-syl 15 ax-jca 17 ax-trud 26 ax-cb1 29 ax-cb2 30 ax-refl 39 ax-eqmp 42 ax-ceq 46 |
This theorem depends on definitions: df-ov 65 |
This theorem is referenced by: hbxfrf 97 ovl 107 alval 132 exval 133 euval 134 notval 135 ax4g 139 dfan2 144 eta 166 ac 184 ax14 204 axrep 207 axpow 208 axun 209 |
Copyright terms: Public domain | W3C validator |