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Mathbox for Wolf Lammen |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > wl-lem-moexsb | Structured version Visualization version Unicode version |
Description: The antecedent ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]()
This theorem provides a basic working step in proving theorems about
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Ref | Expression |
---|---|
wl-lem-moexsb |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfa1 1981 |
. . 3
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2 | nfs1v 2268 |
. . 3
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3 | sp 1939 |
. . . . 5
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4 | ax12v 1936 |
. . . . 5
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5 | 3, 4 | syli 38 |
. . . 4
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6 | sb2 2185 |
. . . 4
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7 | 5, 6 | syl6 34 |
. . 3
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8 | 1, 2, 7 | exlimd 1999 |
. 2
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9 | spsbe 1803 |
. 2
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10 | 8, 9 | impbid1 207 |
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 1671 ax-4 1684 ax-5 1760 ax-6 1807 ax-7 1853 ax-10 1917 ax-12 1935 ax-13 2093 |
This theorem depends on definitions: df-bi 189 df-an 373 df-ex 1666 df-nf 1670 df-sb 1800 |
This theorem is referenced by: (None) |
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