Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > impi | Unicode version |
Description: An importation inference. (Contributed by NM, 29-Dec-1992.) (Proof shortened by Wolf Lammen, 20-Jul-2013.) |
Ref | Expression |
---|---|
impi.1 |
Ref | Expression |
---|---|
impi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | impi.1 | . . 3 | |
2 | 1 | con3rr3 136 | . 2 |
3 | 2 | con1i 129 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -. wn 3 -> wi 4 |
This theorem is referenced by: simprim 150 dfbi1 192 imp 429 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
Copyright terms: Public domain | W3C validator |