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Mirrors > Home > NFE Home > Th. List > sbnf2 | Unicode version |
Description: Two ways of expressing
"![]() ![]() |
Ref | Expression |
---|---|
sbnf2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2albiim 1612 |
. 2
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2 | df-nf 1545 |
. . . . 5
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3 | sbhb 2107 |
. . . . . 6
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4 | 3 | albii 1566 |
. . . . 5
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5 | alcom 1737 |
. . . . 5
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6 | 2, 4, 5 | 3bitri 262 |
. . . 4
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7 | nfv 1619 |
. . . . . . 7
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8 | 7 | sb8 2092 |
. . . . . 6
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9 | nfs1v 2106 |
. . . . . . . 8
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10 | 9 | sblim 2068 |
. . . . . . 7
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11 | 10 | albii 1566 |
. . . . . 6
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12 | 8, 11 | bitri 240 |
. . . . 5
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13 | 12 | albii 1566 |
. . . 4
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14 | alcom 1737 |
. . . 4
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15 | 6, 13, 14 | 3bitri 262 |
. . 3
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16 | sbhb 2107 |
. . . . . 6
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17 | 16 | albii 1566 |
. . . . 5
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18 | alcom 1737 |
. . . . 5
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19 | 2, 17, 18 | 3bitri 262 |
. . . 4
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20 | nfv 1619 |
. . . . . . 7
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21 | 20 | sb8 2092 |
. . . . . 6
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22 | nfs1v 2106 |
. . . . . . . 8
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23 | 22 | sblim 2068 |
. . . . . . 7
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24 | 23 | albii 1566 |
. . . . . 6
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25 | 21, 24 | bitri 240 |
. . . . 5
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26 | 25 | albii 1566 |
. . . 4
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27 | 19, 26 | bitri 240 |
. . 3
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28 | 15, 27 | anbi12i 678 |
. 2
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29 | anidm 625 |
. 2
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30 | 1, 28, 29 | 3bitr2ri 265 |
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 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-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 |
This theorem is referenced by: sbnfc2 3197 |
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