Nuprl Lemma : sq_stable__geo-axioms
∀g:EuclideanPlaneStructure. SqStable(BasicGeometryAxioms(g))
Proof
Definitions occuring in Statement :
euclidean-plane-structure: EuclideanPlaneStructure,
basic-geo-axioms: BasicGeometryAxioms(g),
sq_stable: SqStable(P),
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
implies: P ⇒ Q,
and: P ∧ Q,
cand: A c∧ B,
not: ¬A,
false: False,
prop: ℙ
Latex:
\mforall{}g:EuclideanPlaneStructure. SqStable(BasicGeometryAxioms(g))
Date html generated:
2020_05_20-AM-09_42_54
Last ObjectModification:
2020_01_13-PM-02_51_44
Theory : euclidean!plane!geometry
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