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Theorem ax4 2145
Description: This theorem repeats sp 1747 under the name ax4 2145, so that the metamath program's "verify markup" command will check that it matches axiom scheme ax-4 2135. It is preferred that references to this theorem use the name sp 1747. (Contributed by NM, 18-Aug-2017.) (New usage is discouraged.) (Proof modification is discouraged.)
Ref Expression
ax4 (xφφ)

Proof of Theorem ax4
StepHypRef Expression
1 sp 1747 1 (xφφ)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1540
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-11 1746
This theorem depends on definitions:  df-bi 177  df-ex 1542
This theorem is referenced by: (None)
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