Theorem
noteqi
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theorem noteqi (a b: wff): $ a <-> b $ > $ ~a <-> ~b $;
Step
Hyp
Ref
Expression
1
noteq
(a <-> b) -> (~a <-> ~b)
2
hyp h
a <-> b
3
1
,
2
ax_mp
~a <-> ~b
Axiom use
axs_prop_calc
(
ax_1
,
ax_2
,
ax_3
,
ax_mp
)