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Mirrors > Home > ILE Home > Th. List > spimeh | Unicode version |
Description: Existential introduction, using implicit substitition. Compare Lemma 14 of [Tarski] p. 70. (Contributed by NM, 7-Aug-1994.) (Revised by NM, 3-Feb-2015.) (New usage is discouraged.) |
Ref | Expression |
---|---|
spimeh.1 |
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spimeh.2 |
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Ref | Expression |
---|---|
spimeh |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | a9e 1696 |
. 2
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2 | spimeh.1 |
. . 3
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3 | spimeh.2 |
. . . 4
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4 | 3 | com12 30 |
. . 3
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5 | 2, 4 | eximdh 1611 |
. 2
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6 | 1, 5 | mpi 15 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-4 1510 ax-i9 1530 ax-ial 1534 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: (None) |
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