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Mirrors > Home > ILE Home > Th. List > exlimdd | Unicode version |
Description: Existential elimination rule of natural deduction. (Contributed by Mario Carneiro, 9-Feb-2017.) |
Ref | Expression |
---|---|
exlimdd.1 |
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exlimdd.2 |
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exlimdd.3 |
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exlimdd.4 |
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Ref | Expression |
---|---|
exlimdd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | exlimdd.3 |
. 2
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2 | exlimdd.1 |
. . 3
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3 | exlimdd.2 |
. . 3
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4 | exlimdd.4 |
. . . 4
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5 | 4 | ex 114 |
. . 3
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6 | 2, 3, 5 | exlimd 1534 |
. 2
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7 | 1, 6 | mpd 13 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia3 107 ax-5 1382 ax-gen 1384 ax-ie2 1429 ax-4 1446 |
This theorem depends on definitions: df-bi 116 df-nf 1396 |
This theorem is referenced by: fvmptdf 5403 ovmpt2df 5790 exmidfodomrlemr 6882 exmidfodomrlemrALT 6883 ltexprlemm 7213 |
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