Nuprl Lemma : rat-interval-face-self
∀I:ℚInterval. I ≤ I
Proof
Definitions occuring in Statement :
rat-interval-face: I ≤ J,
rational-interval: ℚInterval,
all: ∀x:A. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
member: t ∈ T,
or: P ∨ Q,
rat-interval-face: I ≤ J,
rational-interval: ℚInterval,
all: ∀x:A. B[x]
Lemmas referenced :
rat-point-interval_wf,
subtype_rel_self,
rational-interval_wf
Rules used in proof :
because_Cache,
isectElimination,
applyEquality,
hypothesis,
extract_by_obid,
introduction,
cut,
universeIsType,
equalityIstype,
hypothesisEquality,
independent_pairEquality,
sqequalRule,
inrFormation_alt,
thin,
productElimination,
sqequalHypSubstitution,
lambdaFormation_alt,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}I:\mBbbQ{}Interval. I \mleq{} I
Date html generated:
2019_10_29-AM-07_47_20
Last ObjectModification:
2019_10_18-PM-01_02_59
Theory : rationals
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