Nuprl Lemma : var-deq_wf
VarDeq ∈ EqDecider(varname())
Proof
Definitions occuring in Statement :
var-deq: VarDeq,
varname: varname(),
deq: EqDecider(T),
member: t ∈ T
Definitions unfolded in proof :
deq: EqDecider(T),
var-deq: VarDeq,
member: t ∈ T,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
rev_implies: P ⇐ Q
Lemmas referenced :
eq_var_wf,
varname_wf,
iff_weakening_uiff,
assert_wf,
equal_wf,
assert-eq_var,
istype-assert
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
sqequalRule,
dependent_set_memberEquality_alt,
lambdaEquality_alt,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
inhabitedIsType,
universeIsType,
lambdaFormation_alt,
independent_pairFormation,
equalityIstype,
because_Cache,
dependent_functionElimination,
productElimination,
independent_functionElimination,
promote_hyp,
functionIsType,
productIsType,
applyEquality
Latex:
VarDeq \mmember{} EqDecider(varname())
Date html generated:
2020_05_19-PM-09_53_02
Last ObjectModification:
2020_03_09-PM-04_07_58
Theory : terms
Home
Index