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Mirrors > Home > NFE Home > Th. List > euxfr2 | Unicode version |
Description: Transfer existential
uniqueness from a variable ![]() ![]() ![]() |
Ref | Expression |
---|---|
euxfr2.1 |
![]() ![]() ![]() ![]() |
euxfr2.2 |
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Ref | Expression |
---|---|
euxfr2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2euswap 2280 |
. . . 4
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2 | euxfr2.2 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 2 | moani 2256 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4 | ancom 437 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
5 | 4 | mobii 2240 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6 | 3, 5 | mpbi 199 |
. . . 4
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7 | 1, 6 | mpg 1548 |
. . 3
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8 | 2euswap 2280 |
. . . 4
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9 | moeq 3013 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() | |
10 | 9 | moani 2256 |
. . . . 5
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11 | 4 | mobii 2240 |
. . . . 5
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12 | 10, 11 | mpbi 199 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | 8, 12 | mpg 1548 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 7, 13 | impbii 180 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | euxfr2.1 |
. . . 4
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16 | biidd 228 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
17 | 15, 16 | ceqsexv 2895 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 17 | eubii 2213 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
19 | 14, 18 | bitri 240 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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 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 2862 |
This theorem is referenced by: euxfr 3023 |
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