Theorem
mpbiri
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theorem mpbiri (a b c: wff): $ b $ > $ a -> (c <-> b) $ > $ a -> c $;
Step
Hyp
Ref
Expression
1
hyp h2
a -> (c <-> b)
2
hyp h1
b
3
2
a1i
a -> b
4
1
,
3
mpbird
a -> c
Axiom use
axs_prop_calc
(
ax_1
,
ax_2
,
ax_3
,
ax_mp
)