Nuprl Lemma : oal_neg_wf
∀a:PosetSig. ∀b:GrpSig. ∀ps:(|a| × |b|) List. (--ps ∈ (|a| × |b|) List)
Proof
Definitions occuring in Statement :
oal_neg: --ps,
list: T List,
all: ∀x:A. B[x],
member: t ∈ T,
product: x:A × B[x],
grp_car: |g|,
grp_sig: GrpSig,
set_car: |p|,
poset_sig: PosetSig
Definitions unfolded in proof :
oal_neg: --ps,
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s]
Lemmas referenced :
map_wf,
set_car_wf,
grp_car_wf,
pi1_wf,
grp_inv_wf,
pi2_wf,
list_wf,
grp_sig_wf,
poset_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lambdaFormation,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
productEquality,
hypothesisEquality,
hypothesis,
lambdaEquality,
independent_pairEquality,
applyEquality
Latex:
\mforall{}a:PosetSig. \mforall{}b:GrpSig. \mforall{}ps:(|a| \mtimes{} |b|) List. (--ps \mmember{} (|a| \mtimes{} |b|) List)
Date html generated:
2016_05_16-AM-08_19_01
Last ObjectModification:
2015_12_28-PM-06_26_28
Theory : polynom_2
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