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Mathbox for Norm Megill |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > axc11nfromc11 | Structured version Visualization version Unicode version |
Description: Rederivation of ax-c11n 32504 from original version ax-c11 32503. See theorem
axc11 2158 for the derivation of ax-c11 32503 from ax-c11n 32504.
This theorem should not be referenced in any proof. Instead, use ax-c11n 32504 above so that uses of ax-c11n 32504 can be more easily identified, or use aecom-o 32515 when this form is needed for studies involving ax-c11 32503 and omitting ax-5 1768. (Contributed by NM, 16-May-2008.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
axc11nfromc11 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-c11 32503 |
. . 3
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2 | 1 | pm2.43i 49 |
. 2
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3 | equcomi 1871 |
. . 3
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4 | 3 | alimi 1694 |
. 2
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5 | 2, 4 | syl 17 |
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 1679 ax-4 1692 ax-5 1768 ax-6 1815 ax-7 1861 ax-c11 32503 |
This theorem depends on definitions: df-bi 190 df-an 377 df-ex 1674 |
This theorem is referenced by: (None) |
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