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Mirrors > Home > NFE Home > Th. List > spOLD | Unicode version |
Description: Obsolete proof of sp 1747 as of 23-Dec-2017. (Contributed by NM, 21-May-2008.) (Proof shortened by Scott Fenton, 24-Jan-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
spOLD |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax9v 1655 |
. 2
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2 | equcomi 1679 |
. . . . . . 7
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3 | ax-17 1616 |
. . . . . . 7
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4 | ax-11 1746 |
. . . . . . 7
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5 | 2, 3, 4 | syl2im 34 |
. . . . . 6
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6 | ax9v 1655 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
7 | con2 108 |
. . . . . . . 8
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8 | 7 | al2imi 1561 |
. . . . . . 7
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9 | 6, 8 | mtoi 169 |
. . . . . 6
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10 | 5, 9 | syl6 29 |
. . . . 5
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11 | 10 | con4d 97 |
. . . 4
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12 | 11 | con3i 127 |
. . 3
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13 | 12 | alrimiv 1631 |
. 2
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14 | 1, 13 | mt3 171 |
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-11 1746 |
This theorem depends on definitions: df-bi 177 df-ex 1542 |
This theorem is referenced by: (None) |
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