Theorem simplOLD 477

Description: Obsolete version of simpl 476 as of 14-Jun-2022. (Contributed by NM, 3-Jan-1993.) (Proof shortened by Wolf Lammen, 13-Nov-2012.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
simplOLD	⊢ ((𝜑 ∧ 𝜓) → 𝜑)

Proof of Theorem simplOLD

Step	Hyp	Ref	Expression
1		ax-1 6	. 2 ⊢ (𝜑 → (𝜓 → 𝜑))
2	1	imp 397	1 ⊢ ((𝜑 ∧ 𝜓) → 𝜑)

Syntax hints:   → wi 4   ∧ wa 386

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 199  df-an 387

This theorem is referenced by: (None)