abai

Theorem.

Arguments:

phi (pr), psi (pr),

Assertions:

((phiwedgepsi)leftrightarrow(phiwedge(phitopsi)))

Proof:

Hyp Ref Line Expr
siman<1((phiwedgepsi)tophi)
pm3.42((phiwedgepsi)to(phitopsi))
1, 2jca3((phiwedgepsi)to(phiwedge(phitopsi)))
siman<4((phiwedge(phitopsi))tophi)
mpclosedan5((phiwedge(phitopsi))topsi)
4, 5jca6((phiwedge(phitopsi))to(phiwedgepsi))
3, 6>bii7((phiwedgepsi)leftrightarrow(phiwedge(phitopsi)))