Nuprl Lemma : free-from-atom-rational
∀[a:Atom1]. ∀[q:ℚ]. a#q:ℚ
Proof
Definitions occuring in Statement :
free-from-atom: a#x:T,
atom: Atom$n,
uall: ∀[x:A]. B[x],
rationals: ℚ
Lemmas :
q-elim,
nat_plus_properties,
assert-qeq,
int-subtype-rationals,
assert_wf,
qeq_wf2,
not_wf,
equal-wf-base,
rationals_wf,
int_subtype_base,
not-equal-2,
decidable__le,
le_wf,
false_wf,
not-le-2,
less-iff-le,
condition-implies-le,
minus-add,
minus-one-mul,
add-swap,
add-associates,
zero-add,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel2,
or_wf,
nequal_wf,
free-from-atom_wf,
qdiv_wf,
subtype_rel_set,
Error :int_nzero-rational,
int_nzero_wf,
free-from-atom-int
\mforall{}[a:Atom1]. \mforall{}[q:\mBbbQ{}]. a\#q:\mBbbQ{}
Date html generated:
2015_07_17-AM-07_57_54
Last ObjectModification:
2015_01_27-AM-11_24_35
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