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Mirrors > Home > ILE Home > Th. List > axi12 | Unicode version |
Description: Proof that ax-i12 1507 follows from ax-bndl 1509. So that we can track which theorems rely on ax-bndl 1509, proofs should reference ax12or 1508 rather than this theorem. (Contributed by Jim Kingdon, 17-Aug-2018.) (New usage is discouraged). (Proof modification is discouraged.) |
Ref | Expression |
---|---|
axi12 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-bndl 1509 |
. 2
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2 | sp 1511 |
. . . 4
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3 | 2 | orim2i 761 |
. . 3
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4 | 3 | orim2i 761 |
. 2
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5 | 1, 4 | ax-mp 5 |
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-io 709 ax-bndl 1509 ax-4 1510 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: (None) |
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