Nuprl Lemma : dl-R_refl
∀K:dl_KS. ∀i:worlds(K). iRi
Proof
Definitions occuring in Statement :
dl_KS: dl_KS,
KrRel: sRt,
worlds: worlds(k),
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
subtype_rel: A ⊆r B
Lemmas referenced :
Rref_wf,
worlds_wf,
dl_KS_subtype,
dl_KS_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation_alt,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
dependent_functionElimination,
hypothesis,
inhabitedIsType,
equalityIstype,
equalityTransitivity,
equalitySymmetry,
independent_functionElimination,
universeIsType,
applyEquality,
sqequalRule
Latex:
\mforall{}K:dl\_KS. \mforall{}i:worlds(K). iRi
Date html generated:
2019_10_16-AM-11_23_47
Last ObjectModification:
2019_04_26-PM-04_48_19
Theory : dynamic!logic
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