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Mirrors > Home > MPE Home > Th. List > euanOLD | Structured version Unicode version |
Description: Obsolete poof of euan 2338 as of 24-Dec-2018. (Contributed by NM, 19-Feb-2005.) (Proof shortened by Andrew Salmon, 9-Jul-2011.) (New usage is discouraged.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
moanim.1 |
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Ref | Expression |
---|---|
euanOLD |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | moanim.1 |
. . . . . 6
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2 | simpl 457 |
. . . . . 6
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3 | 1, 2 | exlimi 1847 |
. . . . 5
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4 | 3 | adantr 465 |
. . . 4
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5 | exsimpr 1646 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
6 | 5 | adantr 465 |
. . . 4
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7 | nfe1 1780 |
. . . . . 6
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8 | simpr 461 |
. . . . . . 7
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9 | 3 | a1d 25 |
. . . . . . . 8
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10 | 9 | ancrd 554 |
. . . . . . 7
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11 | 8, 10 | impbid2 204 |
. . . . . 6
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12 | 7, 11 | mobid 2282 |
. . . . 5
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13 | 12 | biimpa 484 |
. . . 4
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14 | 4, 6, 13 | jca32 535 |
. . 3
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15 | eu5 2290 |
. . 3
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16 | eu5 2290 |
. . . 4
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17 | 16 | anbi2i 694 |
. . 3
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18 | 14, 15, 17 | 3imtr4i 266 |
. 2
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19 | ibar 504 |
. . . 4
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20 | 1, 19 | eubid 2281 |
. . 3
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21 | 20 | biimpa 484 |
. 2
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22 | 18, 21 | impbii 188 |
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 1592 ax-4 1603 ax-5 1671 ax-6 1710 ax-7 1730 ax-10 1777 ax-12 1794 |
This theorem depends on definitions: df-bi 185 df-an 371 df-ex 1588 df-nf 1591 df-eu 2264 df-mo 2265 |
This theorem is referenced by: (None) |
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