Nuprl Lemma : mRuleimpI_wf
impI ∈ mFOLRule()
Proof
Definitions occuring in Statement :
mRuleimpI: impI,
mFOLRule: mFOLRule(),
member: t ∈ T
Definitions unfolded in proof :
member: t ∈ T,
mFOLRule: mFOLRule(),
mRuleimpI: impI,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
bfalse: ff,
btrue: tt,
uall: ∀[x:A]. B[x]
Lemmas referenced :
it_wf,
ifthenelse_wf,
eq_atom_wf,
unit_wf2,
bool_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
sqequalRule,
dependent_pairEquality_alt,
tokenEquality,
introduction,
extract_by_obid,
hypothesis,
universeIsType,
thin,
instantiate,
sqequalHypSubstitution,
isectElimination,
hypothesisEquality,
universeEquality,
intEquality,
productEquality,
voidEquality
Latex:
impI \mmember{} mFOLRule()
Date html generated:
2020_05_20-AM-09_08_46
Last ObjectModification:
2020_01_22-PM-05_22_57
Theory : minimal-first-order-logic
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