Nuprl Lemma : imonomial-less_wf
∀[m1,m2:iMonomial()]. (imonomial-less(m1;m2) ∈ ℙ)
Proof
Definitions occuring in Statement :
imonomial-less: imonomial-less(m1;m2),
iMonomial: iMonomial(),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
imonomial-less: imonomial-less(m1;m2),
prop: ℙ,
and: P ∧ Q,
iMonomial: iMonomial(),
pi2: snd(t)
Lemmas referenced :
not_wf,
equal_wf,
list_wf,
assert_wf,
imonomial-le_wf,
iMonomial_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
productEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
intEquality,
hypothesis,
productElimination,
setElimination,
rename,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[m1,m2:iMonomial()]. (imonomial-less(m1;m2) \mmember{} \mBbbP{})
Date html generated:
2016_05_14-AM-07_00_17
Last ObjectModification:
2015_12_26-PM-01_12_18
Theory : omega
Home
Index