Nuprl Lemma : dset_of_mon_wf0
∀[g:GrpSig]. (g↓set ∈ PosetSig)
Proof
Definitions occuring in Statement :
dset_of_mon: g↓set,
grp_sig: GrpSig,
poset_sig: PosetSig,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
dset_of_mon: g↓set,
poset_sig: PosetSig,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
grp_car_wf,
grp_eq_wf,
grp_le_wf,
bool_wf,
grp_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
dependent_pairEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
functionEquality,
productEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[g:GrpSig]. (g\mdownarrow{}set \mmember{} PosetSig)
Date html generated:
2016_05_15-PM-00_10_40
Last ObjectModification:
2015_12_26-PM-11_44_09
Theory : groups_1
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