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Mirrors > Home > MPE Home > Th. List > Mathboxes > axc11nfromc11 | Structured version Visualization version Unicode version |
Description: Rederivation of ax-c11n 34173 from original version ax-c11 34172. See theorem
axc11 2314 for the derivation of ax-c11 34172 from ax-c11n 34173.
This theorem should not be referenced in any proof. Instead, use ax-c11n 34173 above so that uses of ax-c11n 34173 can be more easily identified, or use aecom-o 34186 when this form is needed for studies involving ax-c11 34172 and omitting ax-5 1839. (Contributed by NM, 16-May-2008.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
axc11nfromc11 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-c11 34172 | . . 3 | |
2 | 1 | pm2.43i 52 | . 2 |
3 | equcomi 1944 | . . 3 | |
4 | 3 | alimi 1739 | . 2 |
5 | 2, 4 | syl 17 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wal 1481 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-c11 34172 |
This theorem depends on definitions: df-bi 197 df-an 386 df-ex 1705 |
This theorem is referenced by: (None) |
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