Nuprl Lemma : unit-deq_wf
UnitDeq ∈ EqDecider(Unit)
Proof
Definitions occuring in Statement :
unit-deq: UnitDeq,
deq: EqDecider(T),
unit: Unit,
member: t ∈ T
Definitions unfolded in proof :
unit-deq: UnitDeq,
deq: EqDecider(T),
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
assert: ↑b,
ifthenelse: if b then t else f fi ,
btrue: tt,
true: True,
member: t ∈ T,
prop: ℙ,
uall: ∀[x:A]. B[x],
rev_implies: P ⇐ Q,
subtype_rel: A ⊆r B,
top: Top,
so_lambda: λ2x.t[x],
so_apply: x[s]
Lemmas referenced :
equal_wf,
unit_wf2,
equal-unit,
assert_wf,
btrue_wf,
top_wf,
all_wf,
iff_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
lambdaFormation,
independent_pairFormation,
hypothesis,
natural_numberEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
applyEquality,
lambdaEquality,
isect_memberEquality,
voidElimination,
voidEquality,
sqequalRule,
because_Cache,
dependent_set_memberEquality
Latex:
UnitDeq \mmember{} EqDecider(Unit)
Date html generated:
2016_05_14-AM-06_07_02
Last ObjectModification:
2015_12_26-AM-11_46_27
Theory : equality!deciders
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