Theorem axc5 40057

Description: This theorem repeats sp 2219 under the name axc5 40057, so that the Metamath program "MM> VERIFY MARKUP" command will check that it matches axiom scheme ax-c5 40047. (Contributed by NM, 18-Aug-2017.) (Proof modification is discouraged.) Use sp 2219 instead. (New usage is discouraged.)

Assertion

Ref	Expression
axc5	⊢ (∀𝑥𝜑 → 𝜑)

Proof of Theorem axc5

Step	Hyp	Ref	Expression
1		sp 2219	1 ⊢ (∀𝑥𝜑 → 𝜑)

This proof depends on syntax axioms:   → wi 4  ∀wal 1567

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1827  ax-4 1841  ax-5 1942  ax-6 1999  ax-7 2040  ax-12 2212

This proof depends on definitions:  df-bi 210  df-ex 1812

This theorem is used by: (None)