Higher-Order Logic Explorer |
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Ref | Expression (see link for any distinct variable requirements) |
tv 1 | term |
ht 2 | type |
hb 3 | type |
hi 4 | type |
kc 5 | term |
kl 6 | term |
ke 7 | term |
kt 8 | term |
kbr 9 | term |
kct 10 | term |
wffMMJ2 11 | wff |
wffMMJ2t 12 | wff |
ax-syl 15 | |
ax-jca 17 | |
ax-simpl 20 | |
ax-simpr 21 | |
ax-id 24 | |
ax-trud 26 | |
ax-cb1 29 | |
ax-cb2 30 | |
wctl 31 | |
wctr 32 | |
weq 38 | |
ax-refl 39 | |
ax-eqmp 42 | |
ax-ded 43 | |
wct 44 | |
wc 45 | |
ax-ceq 46 | |
wv 58 | |
wl 59 | |
ax-beta 60 | |
ax-distrc 61 | |
ax-leq 62 | |
ax-distrl 63 | |
wov 64 | |
df-ov 65 | |
eqtypi 69 | |
eqtypri 71 | |
ax-hbl1 93 | |
ax-17 95 | |
ax-inst 103 | |
tfal 108 | term |
tan 109 | term |
tne 110 | term |
tim 111 | term |
tal 112 | term |
tex 113 | term |
tor 114 | term |
teu 115 | term |
df-al 116 | |
df-fal 117 | |
df-an 118 | |
df-im 119 | |
df-not 120 | |
df-ex 121 | |
df-or 122 | |
df-eu 123 | |
wffMMJ2d 161 | wff typedef |
wabs 162 | typedef |
wrep 163 | typedef |
ax-tdef 164 | typedef |
ax-eta 165 | |
tf11 177 | term 1-1 |
tfo 178 | term onto |
tat 179 | term |
wat 180 | |
df-f11 181 | 1-1 |
df-fo 182 | onto |
ax-ac 183 | |
ax-inf 189 | 1-1 onto |
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