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Mirrors > Home > MPE Home > Th. List > moa1 | Structured version Visualization version Unicode version |
Description: If an implication holds for at most one value, then its consequent holds for at most one value. See also ala1 1741 and exa1 1765. (Contributed by NM, 28-Jul-1995.) (Proof shortened by Wolf Lammen, 22-Dec-2018.) (Revised by BJ, 29-Mar-2021.) |
Ref | Expression |
---|---|
moa1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1 6 | . 2 | |
2 | 1 | moimi 2520 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wmo 2471 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-10 2019 ax-12 2047 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-ex 1705 df-nf 1710 df-eu 2474 df-mo 2475 |
This theorem is referenced by: (None) |
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