Nuprl Lemma : mcopower_mon_wf
∀s:DSet. ∀g:AbMon. ∀m:mcopower_sig{i:l}(s;g). (m.mon ∈ AbMon)
Proof
Definitions occuring in Statement :
mcopower_mon: m.mon,
mcopower_sig: mcopower_sig{i:l}(s;g),
all: ∀x:A. B[x],
member: t ∈ T,
abmonoid: AbMon,
dset: DSet
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
mcopower_sig: mcopower_sig{i:l}(s;g),
mcopower_mon: m.mon,
pi1: fst(t)
Lemmas referenced :
mcopower_sig_wf,
abmonoid_wf,
dset_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
sqequalHypSubstitution,
productElimination,
thin,
sqequalRule,
hypothesisEquality,
hypothesis,
lemma_by_obid,
dependent_functionElimination
Latex:
\mforall{}s:DSet. \mforall{}g:AbMon. \mforall{}m:mcopower\_sig\{i:l\}(s;g). (m.mon \mmember{} AbMon)
Date html generated:
2016_05_16-AM-08_12_53
Last ObjectModification:
2015_12_28-PM-06_09_42
Theory : polynom_1
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