Metamath Proof Explorer


Theorem abcdtd

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

Ref Expression
Hypothesis abcdtd.1 ( ( ( 𝜑𝜓 ) ∧ 𝜒 ) ∧ 𝜃 )
Assertion abcdtd 𝜃

Proof

Step Hyp Ref Expression
1 abcdtd.1 ( ( ( 𝜑𝜓 ) ∧ 𝜒 ) ∧ 𝜃 )
2 1 simpri 𝜃