![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > syl212anc | Unicode version |
Description: Syllogism combined with contraction. (Contributed by NM, 11-Mar-2012.) |
Ref | Expression |
---|---|
sylXanc.1 |
![]() ![]() ![]() ![]() ![]() ![]() |
sylXanc.2 |
![]() ![]() ![]() ![]() ![]() ![]() |
sylXanc.3 |
![]() ![]() ![]() ![]() ![]() ![]() |
sylXanc.4 |
![]() ![]() ![]() ![]() ![]() ![]() |
sylXanc.5 |
![]() ![]() ![]() ![]() ![]() ![]() |
syl212anc.6 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
syl212anc |
![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylXanc.1 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() | |
2 | sylXanc.2 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() | |
3 | sylXanc.3 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() | |
4 | sylXanc.4 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() | |
5 | sylXanc.5 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() | |
6 | 4, 5 | jca 306 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
7 | syl212anc.6 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
8 | 1, 2, 3, 6, 7 | syl211anc 1244 |
1
![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 |
This theorem depends on definitions: df-bi 117 df-3an 980 |
This theorem is referenced by: rmob 3055 |
Copyright terms: Public domain | W3C validator |