New Foundations Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > NFE Home > Th. List > sylnbir | Unicode version |
Description: A mixed syllogism inference from a biconditional and an implication. (Contributed by Wolf Lammen, 16-Dec-2013.) |
Ref | Expression |
---|---|
sylnbir.1 | |
sylnbir.2 |
Ref | Expression |
---|---|
sylnbir |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylnbir.1 | . . 3 | |
2 | 1 | bicomi 193 | . 2 |
3 | sylnbir.2 | . 2 | |
4 | 2, 3 | sylnbi 297 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 176 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 |
This theorem is referenced by: f0cli 5418 ndmov 5615 elovex12 5648 fvmptex 5721 nchoicelem18 6306 |
Copyright terms: Public domain | W3C validator |