New Foundations Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > NFE Home > Th. List > moimi | Unicode version |
Description: "At most one" is preserved through implication (notice wff reversal). (Contributed by NM, 15-Feb-2006.) |
Ref | Expression |
---|---|
immoi.1 |
Ref | Expression |
---|---|
moimi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | moim 2250 | . 2 | |
2 | immoi.1 | . 2 | |
3 | 1, 2 | mpg 1548 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wmo 2205 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-eu 2208 df-mo 2209 |
This theorem is referenced by: moan 2255 moor 2257 mooran1 2258 mooran2 2259 2moex 2275 2euex 2276 2exeu 2281 2eu1 2284 nfunsn 5354 caovmo 5646 |
Copyright terms: Public domain | W3C validator |