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Mirrors > Home > HOLE Home > Th. List > beta | Unicode version |
Description: Axiom of beta-substitution. |
Ref | Expression |
---|---|
beta.1 |
Ref | Expression |
---|---|
beta |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | weq 38 | . 2 | |
2 | beta.1 | . . . 4 | |
3 | 2 | wl 59 | . . 3 |
4 | wv 58 | . . 3 | |
5 | 3, 4 | wc 45 | . 2 |
6 | 2 | ax-beta 60 | . 2 |
7 | 1, 5, 2, 6 | dfov2 67 | 1 |
Colors of variables: type var term |
Syntax hints: tv 1 kc 5 kl 6 ke 7 kt 8 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 ax-beta 60 |
This theorem depends on definitions: df-ov 65 |
This theorem is referenced by: clf 105 ax4 140 exlimdv 157 19.8a 160 cbvf 167 leqf 169 exlimd 171 ax11 201 axrep 207 |
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