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Mirrors > Home > HOLE Home > Th. List > distrl | Unicode version |
Description: Distribution of lambda abstraction over substitution. |
Ref | Expression |
---|---|
distrl.1 | |
distrl.2 |
Ref | Expression |
---|---|
distrl |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | weq 38 | . 2 | |
2 | distrl.1 | . . . . 5 | |
3 | 2 | wl 59 | . . . 4 |
4 | 3 | wl 59 | . . 3 |
5 | distrl.2 | . . 3 | |
6 | 4, 5 | wc 45 | . 2 |
7 | 2 | wl 59 | . . . 4 |
8 | 7, 5 | wc 45 | . . 3 |
9 | 8 | wl 59 | . 2 |
10 | 2, 5 | ax-distrl 63 | . 2 |
11 | 1, 6, 9, 10 | dfov2 67 | 1 |
Colors of variables: type var term |
Syntax hints: ht 2 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-distrl 63 |
This theorem depends on definitions: df-ov 65 |
This theorem is referenced by: hbl 102 ovl 107 |
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