Nuprl Lemma : dist-axiomsB_wf
∀[g:EuclideanPlane]. (dist-axiomsB(g) ∈ ℙ)
Proof
Definitions occuring in Statement :
dist-axiomsB: dist-axiomsB(g),
euclidean-plane: EuclideanPlane,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
dist-axiomsB: dist-axiomsB(g),
prop: ℙ,
and: P ∧ Q,
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
guard: {T},
uimplies: b supposing a,
implies: P ⇒ Q,
euclidean-plane: EuclideanPlane,
or: P ∨ Q,
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q
Latex:
\mforall{}[g:EuclideanPlane]. (dist-axiomsB(g) \mmember{} \mBbbP{})
Date html generated:
2020_05_20-AM-10_47_41
Last ObjectModification:
2020_01_13-PM-06_47_53
Theory : euclidean!plane!geometry
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