Nuprl Lemma : K-le_reflexive
∀K:mKripkeStruct. ∀i:World. i ≤ i
Proof
Definitions occuring in Statement :
K-le: i ≤ j,
K-world: World,
mFO-Kripke-struct: mKripkeStruct,
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
K-le: i ≤ j,
mFO-Kripke-struct: mKripkeStruct,
spreadn: spread4,
pi1: fst(t),
pi2: snd(t),
and: P ∧ Q,
member: t ∈ T,
uall: ∀[x:A]. B[x],
guard: {T},
subtype_rel: A ⊆r B,
K-world: World
Lemmas referenced :
K-world_wf,
mFO-Kripke-struct_wf,
subtype_rel_self
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation_alt,
sqequalHypSubstitution,
productElimination,
thin,
sqequalRule,
universeIsType,
cut,
introduction,
extract_by_obid,
isectElimination,
hypothesisEquality,
hypothesis,
applyEquality,
dependent_functionElimination
Latex:
\mforall{}K:mKripkeStruct. \mforall{}i:World. i \mleq{} i
Date html generated:
2019_10_16-AM-11_44_16
Last ObjectModification:
2018_11_26-PM-07_02_08
Theory : minimal-first-order-logic
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