Step
*
of Lemma
tagged-true-property
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(T × 𝔹)]. ∀[e:E(Tagged_tt(X))]. ((↑e ∈b X) ∧ (↑(snd(X(e)))))
BY
{ (InstLemma `is-tagged-true` []⋅ THEN (UnivCD THENA Auto)) }
1
1. ∀[Info:Type]. ∀[es:EO+(Info)]. ∀[T:Type]. ∀[X:EClass(T × 𝔹)]. ∀[e:E].
uiff(↑e ∈b Tagged_tt(X);(↑e ∈b X) ∧ (↑(snd(X(e)))))
2. Info : Type
3. T : Type
4. es : EO+(Info)
5. X : EClass(T × 𝔹)
6. e : E(Tagged_tt(X))
⊢ (↑e ∈b X) ∧ (↑(snd(X(e))))
Latex:
Latex:
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(T \mtimes{} \mBbbB{})]. \mforall{}[e:E(Tagged\_tt(X))].
((\muparrow{}e \mmember{}\msubb{} X) \mwedge{} (\muparrow{}(snd(X(e)))))
By
Latex:
(InstLemma `is-tagged-true` []\mcdot{} THEN (UnivCD THENA Auto))
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