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Mirrors > Home > NFE 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.) (Revised by Mario Carneiro, 7-Oct-2016.) |
Ref | Expression |
---|---|
eu1.1 |
Ref | Expression |
---|---|
eu1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfs1v 2106 | . . 3 | |
2 | 1 | euf 2210 | . 2 |
3 | eu1.1 | . . 3 | |
4 | 3 | sb8eu 2222 | . 2 |
5 | equcom 1680 | . . . . . . 7 | |
6 | 5 | imbi2i 303 | . . . . . 6 |
7 | 6 | albii 1566 | . . . . 5 |
8 | 3 | sb6rf 2091 | . . . . 5 |
9 | 7, 8 | anbi12i 678 | . . . 4 |
10 | ancom 437 | . . . 4 | |
11 | albiim 1611 | . . . 4 | |
12 | 9, 10, 11 | 3bitr4i 268 | . . 3 |
13 | 12 | exbii 1582 | . 2 |
14 | 2, 4, 13 | 3bitr4i 268 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 wal 1540 wex 1541 wnf 1544 wceq 1642 wsb 1648 weu 2204 |
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 |
This theorem is referenced by: euex 2227 eu2 2229 fvfullfunlem1 5861 |
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