Theorem axfrege58a 44628

Description: Identical to anifp 1087. Justification for ax-frege58a 44629. (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 1087	1 ⊢ ((𝜓 ∧ 𝜒) → if-(𝜑, 𝜓, 𝜒))

This proof depends on syntax axioms:   → wi 4   ∧ wa 400  if-wif 1077

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 401  df-or 861  df-ifp 1078

This theorem is used by: (None)