Theorem abcdtd 44310

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

Hypothesis

Ref	Expression
abcdtd.1	⊢ (((𝜑 ∧ 𝜓) ∧ 𝜒) ∧ 𝜃)

Assertion

Ref	Expression
abcdtd	⊢ 𝜃

Proof of Theorem abcdtd

Step	Hyp	Ref	Expression
1		abcdtd.1	. 2 ⊢ (((𝜑 ∧ 𝜓) ∧ 𝜒) ∧ 𝜃)
2	1	simpri 485	1 ⊢ 𝜃

Syntax hints:   ∧ wa 395

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 206  df-an 396

This theorem is referenced by: (None)