Nuprl Lemma : single-bag_wf
∀T:Type. ∀x:T. ({x} ∈ bag(T))
Proof
Definitions occuring in Statement :
single-bag: {x},
bag: bag(T),
all: ∀x:A. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
single-bag: {x},
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
uimplies: b supposing a
Lemmas referenced :
cons_wf,
nil_wf,
list-subtype-bag
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
cumulativity,
hypothesisEquality,
because_Cache,
hypothesis,
applyEquality,
independent_isectElimination,
lambdaEquality,
universeEquality
Latex:
\mforall{}T:Type. \mforall{}x:T. (\{x\} \mmember{} bag(T))
Date html generated:
2016_05_15-PM-02_21_48
Last ObjectModification:
2015_12_27-AM-09_55_19
Theory : bags
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