Nuprl Lemma : bag-monad_wf
BagMonad ∈ Monad
Proof
Definitions occuring in Statement :
bag-monad: BagMonad,
monad: Monad,
member: t ∈ T
Definitions unfolded in proof :
bag-monad: BagMonad,
member: t ∈ T,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
so_apply: x[s],
uimplies: b supposing a
Lemmas referenced :
mk_monad_wf,
bag_wf,
single-bag_wf,
bag-combine_wf,
bag-combine-single-left,
bag-combine-single-right,
bag-combine-combine
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
lambdaEquality,
cumulativity,
hypothesisEquality,
hypothesis,
universeEquality,
isect_memberEquality,
dependent_functionElimination,
because_Cache,
applyEquality,
functionEquality,
independent_isectElimination,
isect_memberFormation,
introduction,
lambdaFormation,
axiomEquality
Latex:
BagMonad \mmember{} Monad
Date html generated:
2016_05_15-PM-02_29_15
Last ObjectModification:
2015_12_27-AM-09_49_54
Theory : bags
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