Theorem 3adant1OLD 1151

Description: Obsolete version of 3adant1 1124 as of 21-Jun-2022. (Contributed by NM, 16-Jul-1995.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypothesis

Ref	Expression
3adantOLD.1	⊢ ((𝜑 ∧ 𝜓) → 𝜒)

Assertion

Ref	Expression
3adant1OLD	⊢ ((𝜃 ∧ 𝜑 ∧ 𝜓) → 𝜒)

Proof of Theorem 3adant1OLD

Step	Hyp	Ref	Expression
1		3simpc 1146	. 2 ⊢ ((𝜃 ∧ 𝜑 ∧ 𝜓) → (𝜑 ∧ 𝜓))
2		3adantOLD.1	. 2 ⊢ ((𝜑 ∧ 𝜓) → 𝜒)
3	1, 2	syl 17	1 ⊢ ((𝜃 ∧ 𝜑 ∧ 𝜓) → 𝜒)

Syntax hints:   → wi 4   ∧ wa 382   ∧ w3a 1071

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 197  df-an 383  df-3an 1073

This theorem is referenced by: (None)