![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE 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 |
---|---|
moimi.1 |
![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
moimi |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | moim 1961 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | moimi.1 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 1, 2 | mpg 1337 |
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-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 629 ax-5 1333 ax-7 1334 ax-gen 1335 ax-ie1 1379 ax-ie2 1380 ax-8 1392 ax-10 1393 ax-11 1394 ax-i12 1395 ax-bndl 1396 ax-4 1397 ax-17 1416 ax-i9 1420 ax-ial 1424 ax-i5r 1425 |
This theorem depends on definitions: df-bi 110 df-nf 1347 df-sb 1643 df-eu 1900 df-mo 1901 |
This theorem is referenced by: moan 1966 moor 1968 mooran1 1969 mooran2 1970 2moex 1983 2euex 1984 2exeu 1989 mosubt 2712 sndisj 3751 disjxsn 3753 mosubopt 4348 funcnvsn 4888 nfunsn 5150 th3qlem2 6145 |
Copyright terms: Public domain | W3C validator |