Theorem axfrege58a 41371

Description: Identical to anifp 1068. Justification for ax-frege58a 41372. (Contributed by RP, 28-Mar-2020.)

Assertion

Ref	Expression
axfrege58a	⊢ ((𝜓 ∧ 𝜒) → if-(𝜑, 𝜓, 𝜒))

Proof of Theorem axfrege58a

Step	Hyp	Ref	Expression
1		anifp 1068	1 ⊢ ((𝜓 ∧ 𝜒) → if-(𝜑, 𝜓, 𝜒))

Syntax hints:   → wi 4   ∧ wa 395  if-wif 1059

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 206  df-an 396  df-or 844  df-ifp 1060

This theorem is referenced by: (None)