![]() |
Higher-Order Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > HOLE Home > Th. List > trul | Unicode version |
Description: Deduction form of tru 44. (Contributed by Mario Carneiro, 7-Oct-2014.) |
Ref | Expression |
---|---|
trul.1 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
trul |
![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | trul.1 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 1 | ax-cb1 29 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
3 | 2 | wctr 34 |
. . 3
![]() ![]() ![]() ![]() |
4 | 3 | trud 27 |
. 2
![]() ![]() ![]() ![]() |
5 | 3 | id 25 |
. 2
![]() ![]() ![]() ![]() |
6 | 4, 5, 1 | syl2anc 19 |
1
![]() ![]() ![]() ![]() |
Colors of variables: type var term |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-syl 15 ax-jca 17 ax-id 24 ax-trud 26 ax-cb1 29 ax-wctr 32 |
This theorem is referenced by: alnex 186 exnal1 187 |
Copyright terms: Public domain | W3C validator |