Nuprl Lemma : K_uforces_atomic_lemma
∀vars,R,K:Top. (K-uforces(K;R(vars)) ~ λi,a. i,a |= R(vars))
Proof
Definitions occuring in Statement :
K-uforces: K-uforces(K;fmla),
K-sat: i,a |= fmla,
mFOatomic: name(vars),
top: Top,
all: ∀x:A. B[x],
lambda: λx.A[x],
sqequal: s ~ t
Definitions unfolded in proof :
K-uforces: K-uforces(K;fmla),
mFOatomic: name(vars),
mFOL_ind: mFOL_ind,
all: ∀x:A. B[x],
member: t ∈ T
Lemmas referenced :
istype-top
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lambdaFormation_alt,
inhabitedIsType,
hypothesisEquality,
cut,
introduction,
extract_by_obid,
hypothesis
Latex:
\mforall{}vars,R,K:Top. (K-uforces(K;R(vars)) \msim{} \mlambda{}i,a. i,a |= R(vars))
Date html generated:
2019_10_16-AM-11_45_42
Last ObjectModification:
2018_10_16-AM-10_54_36
Theory : minimal-first-order-logic
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