Nuprl Lemma : atomxnat_subtype_varname
(Atom × ℕ) ⊆r varname()
Proof
Definitions occuring in Statement :
varname: varname(),
nat: ℕ,
subtype_rel: A ⊆r B,
product: x:A × B[x],
atom: Atom
Definitions unfolded in proof :
varname: varname(),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
subtype_rel_b-union-right,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
atomEquality,
productEquality,
hypothesis
Latex:
(Atom \mtimes{} \mBbbN{}) \msubseteq{}r varname()
Date html generated:
2020_05_19-PM-09_53_11
Last ObjectModification:
2020_03_09-PM-04_08_01
Theory : terms
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