Metamath Proof Explorer

Theorem anim12i

Description: Conjoin antecedents and consequents of two premises. (Contributed by NM, 3-Jan-1993) (Proof shortened by Wolf Lammen, 14-Dec-2013)

Ref Expression
Hypotheses anim12i.1 φ ψ
anim12i.2 χ θ
Assertion anim12i φ χ ψ θ


Step Hyp Ref Expression
1 anim12i.1 φ ψ
2 anim12i.2 χ θ
3 id ψ θ ψ θ
4 1 2 3 syl2an φ χ ψ θ