Theorem jabtaib 43175

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		pm3.4 808	. 2 ⊢ ((𝜑 ∧ 𝜓) → (𝜑 → 𝜓))
3	1, 2	ax-mp 5	1 ⊢ (𝜑 → 𝜓)

Syntax hints:   → wi 4   ∧ wa 398

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 209  df-an 399

This theorem is referenced by: (None)