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Mirrors > Home > MPE Home > Th. List > Mathboxes > axc5 | Structured version Visualization version Unicode version |
Description: This theorem repeats sp 2053 under the name axc5 34178, so that the metamath program's "verify markup" command will check that it matches axiom scheme ax-c5 34168. It is preferred that references to this theorem use the name sp 2053. (Contributed by NM, 18-Aug-2017.) (New usage is discouraged.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
axc5 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sp 2053 | 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-12 2047 |
This theorem depends on definitions: df-bi 197 df-ex 1705 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |