Users' Mathboxes Mathbox for Norm Megill < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  axc5 Structured version   Visualization version   GIF version

Theorem axc5 36044
Description: This theorem repeats sp 2182 under the name axc5 36044, so that the Metamath program "MM> VERIFY MARKUP" command will check that it matches axiom scheme ax-c5 36034. (Contributed by NM, 18-Aug-2017.) (Proof modification is discouraged.) Use sp 2182 instead. (New usage is discouraged.)
Assertion
Ref Expression
axc5 (∀𝑥𝜑𝜑)

Proof of Theorem axc5
StepHypRef Expression
1 sp 2182 1 (∀𝑥𝜑𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1535
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1796  ax-4 1810  ax-5 1911  ax-6 1970  ax-7 2015  ax-12 2177
This theorem depends on definitions:  df-bi 209  df-ex 1781
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator