Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > eu1 | Unicode version |
Description: An alternate way to express uniqueness used by some authors. Exercise 2(b) of [Margaris] p. 110. (Contributed by NM, 20-Aug-1993.) |
Ref | Expression |
---|---|
eu1.1 |
Ref | Expression |
---|---|
eu1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbs1 1925 | . . 3 | |
2 | 1 | euf 2018 | . 2 |
3 | eu1.1 | . . 3 | |
4 | 3 | sb8euh 2036 | . 2 |
5 | equcom 1693 | . . . . . . 7 | |
6 | 5 | imbi2i 225 | . . . . . 6 |
7 | 6 | albii 1457 | . . . . 5 |
8 | 3 | sb6rf 1840 | . . . . 5 |
9 | 7, 8 | anbi12i 456 | . . . 4 |
10 | ancom 264 | . . . 4 | |
11 | albiim 1474 | . . . 4 | |
12 | 9, 10, 11 | 3bitr4i 211 | . . 3 |
13 | 12 | exbii 1592 | . 2 |
14 | 2, 4, 13 | 3bitr4i 211 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wal 1340 wex 1479 wsb 1749 weu 2013 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 |
This theorem depends on definitions: df-bi 116 df-nf 1448 df-sb 1750 df-eu 2016 |
This theorem is referenced by: euex 2043 eu2 2057 |
Copyright terms: Public domain | W3C validator |