Nuprl Lemma : imonomial-le_wf
∀[m1,m2:iMonomial()]. (imonomial-le(m1;m2) ∈ 𝔹)
Proof
Definitions occuring in Statement :
imonomial-le: imonomial-le(m1;m2),
iMonomial: iMonomial(),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
imonomial-le: imonomial-le(m1;m2),
iMonomial: iMonomial(),
pi2: snd(t)
Lemmas referenced :
intlex_wf,
iMonomial_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
productElimination,
setElimination,
rename,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[m1,m2:iMonomial()]. (imonomial-le(m1;m2) \mmember{} \mBbbB{})
Date html generated:
2016_05_14-AM-07_00_13
Last ObjectModification:
2015_12_26-PM-01_12_21
Theory : omega
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