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Mirrors > Home > HOLE Home > Th. List > clf | Unicode version |
Description: Evaluate a lambda expression. |
Ref | Expression |
---|---|
clf.1 | |
clf.2 | |
clf.3 | |
clf.4 | |
clf.5 |
Ref | Expression |
---|---|
clf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | clf.2 | . 2 | |
2 | clf.1 | . . . . 5 | |
3 | 2 | wl 59 | . . . 4 |
4 | 3, 1 | wc 45 | . . 3 |
5 | clf.3 | . . . 4 | |
6 | 2, 5 | eqtypi 69 | . . 3 |
7 | 4, 6 | weqi 68 | . 2 |
8 | clf.4 | . . . 4 | |
9 | 8 | ax-cb1 29 | . . 3 |
10 | 2 | beta 82 | . . 3 |
11 | 9, 10 | a1i 28 | . 2 |
12 | weq 38 | . . 3 | |
13 | wv 58 | . . 3 | |
14 | 12, 13, 9 | a17i 96 | . . 3 |
15 | 2, 13, 9 | hbl1 94 | . . . 4 |
16 | clf.5 | . . . 4 | |
17 | 3, 1, 13, 15, 16 | hbc 100 | . . 3 |
18 | 12, 4, 13, 6, 14, 17, 8 | hbov 101 | . 2 |
19 | wv 58 | . . . 4 | |
20 | 3, 19 | wc 45 | . . 3 |
21 | 19, 1 | weqi 68 | . . . . 5 |
22 | 21 | id 25 | . . . 4 |
23 | 3, 19, 22 | ceq2 80 | . . 3 |
24 | 12, 20, 2, 23, 5 | oveq12 90 | . 2 |
25 | 1, 7, 11, 18, 24 | insti 104 | 1 |
Colors of variables: type var term |
Syntax hints: tv 1 ht 2 hb 3 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-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-beta 60 ax-distrc 61 ax-leq 62 ax-hbl1 93 ax-17 95 ax-inst 103 |
This theorem depends on definitions: df-ov 65 |
This theorem is referenced by: cl 106 cbvf 167 exmid 186 axrep 207 |
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