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Mirrors > Home > HOLE Home > Th. List > hbxfr | Unicode version |
Description: Transfer a hypothesis builder to an equivalent expression. |
Ref | Expression |
---|---|
hbxfr.1 | |
hbxfr.2 | |
hbxfr.3 | |
hbxfr.4 |
Ref | Expression |
---|---|
hbxfr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbxfr.3 | . . . 4 | |
2 | 1 | ax-cb1 29 | . . 3 |
3 | 2 | id 25 | . 2 |
4 | hbxfr.1 | . . 3 | |
5 | hbxfr.2 | . . 3 | |
6 | hbxfr.4 | . . . 4 | |
7 | 6, 2 | adantr 50 | . . 3 |
8 | 4, 5, 1, 7 | hbxfrf 97 | . 2 |
9 | 3, 3, 8 | syl2anc 19 | 1 |
Colors of variables: type var term |
Syntax hints: kc 5 kl 6 ke 7 kbr 9 wffMMJ2 11 wffMMJ2t 12 |
This theorem was proved from axioms: ax-syl 15 ax-jca 17 ax-simpl 20 ax-simpr 21 ax-id 24 ax-trud 26 ax-cb1 29 ax-cb2 30 ax-refl 39 ax-eqmp 42 ax-ceq 46 ax-leq 62 |
This theorem depends on definitions: df-ov 65 |
This theorem is referenced by: hbth 99 |
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