syl
Theorem.
An inference version of the transitive laws for implication.
Arguments:
(pr),
(pr),
(pr),
Hypotheses:
(
)
(
)
Assertions:
(
)
Proof:
Hyp
Ref
Line
Expr
Hypo
1
(
)
2
(
)
1
ax1
3
(
(
))
3
ax2
4
((
)
(
))
2, 4
ax-mp
5
(
)