Nuprl Lemma : m-retraction_wf
∀[X,A:Type]. ∀[d:metric(X)]. Retract(X ⟶ A) ∈ Type supposing A ⊆r X
Proof
Definitions occuring in Statement :
m-retraction: Retract(X ⟶ A),
metric: metric(X),
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
m-retraction: Retract(X ⟶ A),
and: P ∧ Q,
subtype_rel: A ⊆r B,
prop: ℙ,
all: ∀x:A. B[x]
Latex:
\mforall{}[X,A:Type]. \mforall{}[d:metric(X)]. Retract(X {}\mrightarrow{} A) \mmember{} Type supposing A \msubseteq{}r X
Date html generated:
2020_05_20-AM-11_49_06
Last ObjectModification:
2019_11_11-PM-02_20_47
Theory : reals
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