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Mirrors > Home > MPE Home > Th. List > mo4f | Structured version Visualization version Unicode version |
Description: "At most one" expressed using implicit substitution. (Contributed by NM, 10-Apr-2004.) |
Ref | Expression |
---|---|
mo4f.1 |
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mo4f.2 |
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Ref | Expression |
---|---|
mo4f |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1772 |
. . 3
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2 | 1 | mo3 2347 |
. 2
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3 | mo4f.1 |
. . . . . 6
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4 | mo4f.2 |
. . . . . 6
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5 | 3, 4 | sbie 2248 |
. . . . 5
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6 | 5 | anbi2i 705 |
. . . 4
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7 | 6 | imbi1i 331 |
. . 3
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8 | 7 | 2albii 1703 |
. 2
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9 | 2, 8 | bitri 257 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1680 ax-4 1693 ax-5 1769 ax-6 1816 ax-7 1862 ax-10 1926 ax-11 1931 ax-12 1944 ax-13 2102 |
This theorem depends on definitions: df-bi 190 df-or 376 df-an 377 df-tru 1458 df-ex 1675 df-nf 1679 df-sb 1809 df-eu 2314 df-mo 2315 |
This theorem is referenced by: mo4 2357 bm1.1 2447 mob2 3230 moop2 4713 |
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