id

Theorem. Principle of identity

Description:

Theorem *2.08 of Principia Mathematica, p. 101; id1 in set.mm.

Arguments:

phi (pr),

Assertions:

(phitophi)

Proof:

Hyp Ref Line Expr
ax11(phito(phitophi))
ax12(phito((phitophi)tophi))
ax23((phito((phitophi)tophi))to((phito(phitophi))to(phitophi)))
2, 3ax-mp4((phito(phitophi))to(phitophi))
1, 4ax-mp5(phitophi)