Nuprl Lemma : truth_wf
Truth ∈ 𝕌'
Proof
Definitions occuring in Statement :
truth: Truth,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
truth: Truth,
member: t ∈ T,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2],
uimplies: b supposing a
Lemmas referenced :
equiv_rel_iff,
iff_wf,
quotient_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
instantiate,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
universeEquality,
lambdaEquality,
hypothesisEquality,
hypothesis,
applyEquality,
cumulativity,
because_Cache,
independent_isectElimination
Latex:
Truth \mmember{} \mBbbU{}'
Date html generated:
2016_05_14-PM-09_42_22
Last ObjectModification:
2016_01_11-PM-03_45_41
Theory : continuity
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