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Mirrors > Home > MPE Home > Th. List > Mathboxes > pm11.57 | Structured version Visualization version Unicode version |
Description: Theorem *11.57 in [WhiteheadRussell] p. 165. (Contributed by Andrew Salmon, 24-May-2011.) |
Ref | Expression |
---|---|
pm11.57 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1761 |
. . . . 5
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2 | 1 | nfal 2030 |
. . . 4
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3 | sp 1937 |
. . . . 5
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4 | stdpc4 2184 |
. . . . 5
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5 | 3, 4 | jca 535 |
. . . 4
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6 | 2, 5 | alrimi 1955 |
. . 3
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7 | 6 | axc4i 1980 |
. 2
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8 | simpl 459 |
. . . 4
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9 | 8 | sps 1943 |
. . 3
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10 | 9 | alimi 1684 |
. 2
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11 | 7, 10 | impbii 191 |
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 1669 ax-4 1682 ax-5 1758 ax-6 1805 ax-7 1851 ax-10 1915 ax-11 1920 ax-12 1933 ax-13 2091 |
This theorem depends on definitions: df-bi 189 df-an 373 df-ex 1664 df-nf 1668 df-sb 1798 |
This theorem is referenced by: (None) |
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