Theorem ad3antlrOLD 724

Description: Obsolete version of ad3antlr 723 as of 5-Apr-2022. (Contributed by Mario Carneiro, 5-Jan-2017.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypothesis

Ref	Expression
ad2ant.1	⊢ (𝜑 → 𝜓)

Assertion

Ref	Expression
ad3antlrOLD	⊢ ((((𝜒 ∧ 𝜑) ∧ 𝜃) ∧ 𝜏) → 𝜓)

Proof of Theorem ad3antlrOLD

Step	Hyp	Ref	Expression
1		ad2ant.1	. . 3 ⊢ (𝜑 → 𝜓)
2	1	ad2antlr 719	. 2 ⊢ (((𝜒 ∧ 𝜑) ∧ 𝜃) → 𝜓)
3	2	adantr 473	1 ⊢ ((((𝜒 ∧ 𝜑) ∧ 𝜃) ∧ 𝜏) → 𝜓)

Syntax hints:   → wi 4   ∧ wa 385

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 386

This theorem is referenced by: (None)