Step
*
of Lemma
fpf-join-dom-decl
∀f,g:x:Id fp-> Type. ∀x:Id. (↑x ∈ dom(f ⊕ g)
⇐⇒ (↑x ∈ dom(f)) ∨ (↑x ∈ dom(g)))
BY
{ xxx(UnivCD THENA Auto)xxx }
1
1. f : x:Id fp-> Type
2. g : x:Id fp-> Type
3. x : Id
⊢ ↑x ∈ dom(f ⊕ g)
⇐⇒ (↑x ∈ dom(f)) ∨ (↑x ∈ dom(g))
Latex:
Latex:
\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)))
By
Latex:
xxx(UnivCD THENA Auto)xxx
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