Theorem jabtaib 47946

Description: For when pm3.4 lacks a pm3.4i. (Contributed by Jarvin Udandy, 9-Sep-2020.)

Hypothesis

Ref	Expression
jabtaib.1	⊢ (𝜑 ∧ 𝜓)

Assertion

Ref	Expression
jabtaib	⊢ (𝜑 → 𝜓)

Proof of Theorem jabtaib

Step	Hyp	Ref	Expression
1		jabtaib.1	. 2 ⊢ (𝜑 ∧ 𝜓)
2		pm3.4 822	. 2 ⊢ ((𝜑 ∧ 𝜓) → (𝜑 → 𝜓))
3	1, 2	ax-mp 5	1 ⊢ (𝜑 → 𝜓)

This proof depends on syntax axioms:   → wi 4   ∧ wa 401

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

This theorem is used by: (None)