Nuprl Lemma : hgrp_car_wf
∀[g:GrpSig]. (|g|+ ∈ Type)
Proof
Definitions occuring in Statement :
hgrp_car: |g|+,
grp_sig: GrpSig,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
hgrp_car: |g|+,
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ
Lemmas referenced :
grp_car_wf,
grp_leq_wf,
grp_id_wf,
grp_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
setEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[g:GrpSig]. (|g|\msupplus{} \mmember{} Type)
Date html generated:
2016_05_15-PM-00_14_00
Last ObjectModification:
2015_12_26-PM-11_41_16
Theory : groups_1
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