Nuprl Lemma : implies-usquash2
∀[T:ℙ]. (T ⇒ usquash(T))
Proof
Definitions occuring in Statement :
usquash: usquash(T),
uall: ∀[x:A]. B[x],
prop: ℙ,
implies: P ⇒ Q
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
implies: P ⇒ Q,
all: ∀x:A. B[x],
prop: ℙ
Lemmas referenced :
implies-usquash
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
hypothesis,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
lambdaFormation_alt,
independent_functionElimination,
dependent_functionElimination,
Error :memTop,
universeIsType,
universeEquality
Latex:
\mforall{}[T:\mBbbP{}]. (T {}\mRightarrow{} usquash(T))
Date html generated:
2020_05_19-PM-09_35_55
Last ObjectModification:
2020_05_18-AM-09_49_48
Theory : per!type!1
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