Mathbox for Thierry Arnoux |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > moimd | Structured version Visualization version Unicode version |
Description: "At most one" is preserved through implication (notice wff reversal). (Contributed by Thierry Arnoux, 25-Feb-2017.) |
Ref | Expression |
---|---|
moimd.1 |
Ref | Expression |
---|---|
moimd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | moimd.1 | . . 3 | |
2 | 1 | alrimiv 1855 | . 2 |
3 | moim 2519 | . 2 | |
4 | 2, 3 | syl 17 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wal 1481 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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