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Mathbox for Norm Megill |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > ax4 | Structured version Visualization version Unicode version |
Description: Rederivation of axiom ax-4 1682 from ax-c4 32456 and other older axioms. See axc4 1938 for the derivation of ax-c4 32456 from ax-4 1682. (Contributed by NM, 23-May-2008.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
ax4 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-c4 32456 |
. . 3
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2 | ax-c5 32455 |
. . . 4
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3 | ax-c5 32455 |
. . . 4
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4 | 2, 3 | syl5 33 |
. . 3
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5 | 1, 4 | mpg 1671 |
. 2
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6 | ax-c4 32456 |
. 2
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7 | 5, 6 | 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-gen 1669 ax-c5 32455 ax-c4 32456 |
This theorem is referenced by: (None) |
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