Nuprl Lemma : fpf-join-dom-decl
∀f,g:x:Id fp-> Type. ∀x:Id. (↑x ∈ dom(f ⊕ g) ⇐⇒ (↑x ∈ dom(f)) ∨ (↑x ∈ dom(g)))
Proof
Definitions occuring in Statement :
fpf-join: f ⊕ g,
fpf-dom: x ∈ dom(f),
fpf: a:A fp-> B[a],
id-deq: IdDeq,
Id: Id,
assert: ↑b,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
or: P ∨ Q,
universe: Type
Lemmas :
Id_wf,
fpf_wf,
or_wf,
assert_wf,
fpf-dom_wf,
id-deq_wf,
subtype-fpf2,
top_wf,
subtype_top,
fpf-join-dom,
fpf-join_wf,
iff_wf
\mforall{}f,g:x:Id fp-> Type. \mforall{}x:Id. (\muparrow{}x \mmember{} dom(f \moplus{} g) \mLeftarrow{}{}\mRightarrow{} (\muparrow{}x \mmember{} dom(f)) \mvee{} (\muparrow{}x \mmember{} dom(g)))
Date html generated:
2015_07_17-AM-11_13_37
Last ObjectModification:
2015_01_28-AM-07_41_19
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