Theorem axfrege58a 44716

Description: Identical to anifp 1088. Justification for ax-frege58a 44717. (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 1088	1 ⊢ ((𝜓 ∧ 𝜒) → if-(𝜑, 𝜓, 𝜒))

This proof depends on syntax axioms:   → wi 4   ∧ wa 401  if-wif 1078

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This proof depends on definitions:  df-bi 210  df-an 402  df-or 862  df-ifp 1079

This theorem is used by: (None)