Higher-Order Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > HOLE Home > Th. List > alimdv | Unicode version |
Description: Deduction from Theorem 19.20 of [Margaris] p. 90. |
Ref | Expression |
---|---|
alimdv.1 |
Ref | Expression |
---|---|
alimdv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | alimdv.1 | . . . . . . 7 | |
2 | 1 | ax-cb1 29 | . . . . . 6 |
3 | 2 | wctr 32 | . . . . 5 |
4 | 3 | ax4 140 | . . . 4 |
5 | 2 | wctl 31 | . . . 4 |
6 | 4, 5 | adantl 51 | . . 3 |
7 | 6, 1 | syldan 34 | . 2 |
8 | wv 58 | . . 3 | |
9 | wal 124 | . . . 4 | |
10 | 3 | wl 59 | . . . 4 |
11 | 9, 10 | wc 45 | . . 3 |
12 | 5, 8 | ax-17 95 | . . 3 |
13 | 9, 8 | ax-17 95 | . . . 4 |
14 | 3, 8 | ax-hbl1 93 | . . . 4 |
15 | 9, 10, 8, 13, 14 | hbc 100 | . . 3 |
16 | 5, 8, 11, 12, 15 | hbct 145 | . 2 |
17 | 7, 16 | alrimi 170 | 1 |
Colors of variables: type var term |
Syntax hints: tv 1 ht 2 hb 3 kc 5 kl 6 kt 8 kct 10 wffMMJ2 11 tal 112 |
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-ded 43 ax-ceq 46 ax-beta 60 ax-distrc 61 ax-leq 62 ax-distrl 63 ax-hbl1 93 ax-17 95 ax-inst 103 ax-eta 165 |
This theorem depends on definitions: df-ov 65 df-al 116 df-an 118 |
This theorem is referenced by: exnal1 175 |
Copyright terms: Public domain | W3C validator |