Nuprl Lemma : set_car_wf
∀[p:PosetSig]. (|p| ∈ Type)
Proof
Definitions occuring in Statement :
set_car: |p|,
poset_sig: PosetSig,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
poset_sig: PosetSig,
set_car: |p|,
pi1: fst(t)
Lemmas referenced :
poset_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalHypSubstitution,
productElimination,
thin,
sqequalRule,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
lemma_by_obid
Latex:
\mforall{}[p:PosetSig]. (|p| \mmember{} Type)
Date html generated:
2016_05_15-PM-00_03_51
Last ObjectModification:
2015_12_26-PM-11_28_48
Theory : sets_1
Home
Index