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Mirrors > Home > HOLE Home > Th. List > df-im | Unicode version |
Description: Define the implication operator. (Contributed by Mario Carneiro, 8-Oct-2014.) |
Ref | Expression |
---|---|
df-im |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | kt 8 |
. 2
term ![]() | |
2 | tim 121 |
. . 3
term ![]() | |
3 | hb 3 |
. . . 4
type ![]() | |
4 | vp |
. . . 4
var ![]() | |
5 | vq |
. . . . 5
var ![]() | |
6 | 3, 4 | tv 1 |
. . . . . . 7
term ![]() ![]() ![]() |
7 | 3, 5 | tv 1 |
. . . . . . 7
term ![]() ![]() ![]() |
8 | tan 119 |
. . . . . . 7
term ![]() | |
9 | 6, 7, 8 | kbr 9 |
. . . . . 6
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | ke 7 |
. . . . . 6
term ![]() | |
11 | 9, 6, 10 | kbr 9 |
. . . . 5
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | 3, 5, 11 | kl 6 |
. . . 4
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | 3, 4, 12 | kl 6 |
. . 3
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 2, 13, 10 | kbr 9 |
. 2
term ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | 1, 14 | wffMMJ2 11 |
1
wff ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: type var term |
This definition is referenced by: wim 137 imval 146 |
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