Theorem axfrege58a 38168

Description: Identical to anifp 1020. Justification for ax-frege58a 38169. (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 1020	1 ⊢ ((𝜓 ∧ 𝜒) → if-(𝜑, 𝜓, 𝜒))

Syntax hints:   → wi 4   ∧ wa 384  if-wif 1012

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 197  df-or 385  df-an 386  df-ifp 1013

This theorem is referenced by: (None)