Nuprl Lemma : eq_atom_wf1
∀[x,y:Atom1]. (x =a1 y ∈ 𝔹)
Proof
Definitions occuring in Statement :
eq_atom: eq_atom$n(x;y),
atom: Atom$n,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
eq_atom: eq_atom$n(x;y)
Lemmas referenced :
btrue_wf,
bfalse_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
atomn_eqEquality,
hypothesisEquality,
extract_by_obid,
hypothesis,
sqequalHypSubstitution,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
atomnEquality,
isect_memberEquality,
isectElimination,
thin,
because_Cache
Latex:
\mforall{}[x,y:Atom1]. (x =a1 y \mmember{} \mBbbB{})
Date html generated:
2019_06_20-AM-11_20_14
Last ObjectModification:
2018_08_08-AM-10_56_01
Theory : atom_1
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