Theorem
d1lt2
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theorem d1lt2: $ 1 < 2 $;
Step
Hyp
Ref
Expression
1
ltsuc
0 < 1 <-> suc 0 < suc 1
2
1
conv
d1
,
d2
0 < 1 <-> 1 < 2
3
d0lt1
0 < 1
4
2
,
3
mpbi
1 < 2
Axiom use
axs_prop_calc
(
ax_1
,
ax_2
,
ax_3
,
ax_mp
,
itru
)
,
axs_pred_calc
(
ax_gen
,
ax_4
,
ax_5
,
ax_6
,
ax_7
,
ax_10
,
ax_11
,
ax_12
)
,
axs_peano
(
peano1
,
peano2
,
peano5
,
addeq
,
add0
,
addS
)