Nuprl Lemma : eq_atom_wf
∀[x,y:Atom]. (x =a y ∈ 𝔹)
Proof
Definitions occuring in Statement :
eq_atom: x =a y,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
atom: Atom
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
eq_atom: x =a y,
false: False,
implies: P ⇒ Q,
not: ¬A
Lemmas referenced :
btrue_wf,
bfalse_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
atom_eqEquality,
hypothesisEquality,
extract_by_obid,
hypothesis,
sqequalHypSubstitution,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :inhabitedIsType,
isect_memberEquality,
isectElimination,
thin,
atomEquality,
Error :universeIsType
Latex:
\mforall{}[x,y:Atom]. (x =a y \mmember{} \mBbbB{})
Date html generated:
2019_06_20-AM-11_19_53
Last ObjectModification:
2018_09_26-AM-10_50_30
Theory : basic_types
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