Nuprl Lemma : lifting-2_wf
∀[C,B,A:Type]. ∀[f:A ⟶ B ⟶ C]. (lifting-2(f) ∈ bag(A) ⟶ bag(B) ⟶ bag(C))
Proof
Definitions occuring in Statement :
lifting-2: lifting-2(f),
bag: bag(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
lifting-2: lifting-2(f)
Lemmas referenced :
lifting2_wf,
bag_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lambdaEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
functionEquality,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[C,B,A:Type]. \mforall{}[f:A {}\mrightarrow{} B {}\mrightarrow{} C]. (lifting-2(f) \mmember{} bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(C))
Date html generated:
2016_05_15-PM-03_01_59
Last ObjectModification:
2015_12_27-AM-09_28_17
Theory : bags
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