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Mirrors > Home > NFE Home > Th. List > mosub | Unicode version |
Description: "At most one" remains true after substitution. (Contributed by NM, 9-Mar-1995.) |
Ref | Expression |
---|---|
mosub.1 |
Ref | Expression |
---|---|
mosub |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | moeq 3012 | . 2 | |
2 | mosub.1 | . . 3 | |
3 | 2 | ax-gen 1546 | . 2 |
4 | moexexv 2274 | . 2 | |
5 | 1, 3, 4 | mp2an 653 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wa 358 wal 1540 wex 1541 wceq 1642 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 ax-ext 2334 |
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 df-clab 2340 df-cleq 2346 df-clel 2349 df-v 2861 |
This theorem is referenced by: (None) |
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