Theorem abcdta

Description: Given (((a and b) and c) and d), there exists a proof for a. (Contributed by Jarvin Udandy, 3-Sep-2016)

	Ref	Expression
Hypothesis	abcdta.1	⊢ ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜃 )
Assertion	abcdta	⊢ 𝜑

Proof

Step	Hyp	Ref	Expression
1		abcdta.1	⊢ ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜃 )
2	1	simpli	⊢ ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 )
3	2	simpli	⊢ ( 𝜑 ∧ 𝜓 )
4	3	simpli	⊢ 𝜑