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Mirrors > Home > HOLE Home > Th. List > eximdv | Unicode version |
Description: Deduction from Theorem 19.22 of [Margaris] p. 90. |
Ref | Expression |
---|---|
alimdv.1 |
Ref | Expression |
---|---|
eximdv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | alimdv.1 | . . 3 | |
2 | 1 | ax-cb2 30 | . . . 4 |
3 | 2 | 19.8a 160 | . . 3 |
4 | 1, 3 | syl 16 | . 2 |
5 | 1 | ax-cb1 29 | . . . 4 |
6 | 5 | wctl 31 | . . 3 |
7 | wv 58 | . . 3 | |
8 | 6, 7 | ax-17 95 | . 2 |
9 | wex 129 | . . 3 | |
10 | 2 | wl 59 | . . 3 |
11 | 9, 7 | ax-17 95 | . . 3 |
12 | 2, 7 | ax-hbl1 93 | . . 3 |
13 | 9, 10, 7, 11, 12 | hbc 100 | . 2 |
14 | 4, 8, 13 | exlimd 171 | 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 tex 113 |
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 |
This theorem depends on definitions: df-ov 65 df-al 116 df-an 118 df-im 119 df-ex 121 |
This theorem is referenced by: (None) |
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