Nuprl Lemma : bag-map-null
∀f,bs:Top. (null(bag-map(f;bs)) ~ null(bs))
Proof
Definitions occuring in Statement :
bag-map: bag-map(f;bs),
null: null(as),
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
bag-map: bag-map(f;bs),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
null-map,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis
Latex:
\mforall{}f,bs:Top. (null(bag-map(f;bs)) \msim{} null(bs))
Date html generated:
2016_05_15-PM-02_23_43
Last ObjectModification:
2015_12_27-AM-09_54_00
Theory : bags
Home
Index