![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > hbim | Unicode version |
Description: If ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
hb.1 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
hb.2 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
hbim |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-4 1441 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | hb.2 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 1, 2 | imim12i 58 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4 | ax-i5r 1469 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
5 | hb.1 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
6 | 5 | imim1i 59 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
7 | 6 | alimi 1385 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
8 | 3, 4, 7 | 3syl 17 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-5 1377 ax-gen 1379 ax-4 1441 ax-i5r 1469 |
This theorem is referenced by: hbbi 1481 hbia1 1485 19.21h 1490 19.38 1607 hbsbv 1860 hbmo1 1981 hbmo 1982 moexexdc 2027 2eu4 2036 cleqh 2182 hbral 2401 |
Copyright terms: Public domain | W3C validator |