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Mirrors > Home > ILE Home > Th. List > Mathboxes > 2spim | Unicode version |
Description: Double substitution, as in spim 1623. (Contributed by BJ, 17-Oct-2019.) |
Ref | Expression |
---|---|
2spim.nfx |
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2spim.nfz |
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2spim.1 |
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Ref | Expression |
---|---|
2spim |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2spim.nfz |
. 2
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2 | 2spim.nfx |
. . . 4
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3 | 2 | a1i 9 |
. . 3
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4 | 2spim.1 |
. . . . 5
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5 | 4 | expcom 109 |
. . . 4
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6 | 5 | alrimiv 1751 |
. . 3
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7 | 3, 6 | spimd 9240 |
. 2
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8 | 1, 7 | spim 1623 |
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 99 ax-ia2 100 ax-ia3 101 ax-5 1333 ax-gen 1335 ax-ie1 1379 ax-ie2 1380 ax-4 1397 ax-17 1416 ax-i9 1420 ax-ial 1424 |
This theorem depends on definitions: df-bi 110 df-nf 1347 |
This theorem is referenced by: ch2var 9242 |
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