Theorem simp-12r

Description: Simplification of a conjunction. (Contributed by Thierry Arnoux, 5-Oct-2025)

	Ref	Expression
Assertion	simp-12r	⊢ ( ( ( ( ( ( ( ( ( ( ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜃 ) ∧ 𝜏 ) ∧ 𝜂 ) ∧ 𝜁 ) ∧ 𝜎 ) ∧ 𝜌 ) ∧ 𝜇 ) ∧ 𝜆 ) ∧ 𝜅 ) ∧ 𝜈 ) → 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		simpr	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜓 )
2	1	ad11antr	⊢ ( ( ( ( ( ( ( ( ( ( ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜃 ) ∧ 𝜏 ) ∧ 𝜂 ) ∧ 𝜁 ) ∧ 𝜎 ) ∧ 𝜌 ) ∧ 𝜇 ) ∧ 𝜆 ) ∧ 𝜅 ) ∧ 𝜈 ) → 𝜓 )