Step
*
of Lemma
rel_rel_star
∀[T:Type]. ∀[R:T ⟶ T ⟶ ℙ]. ∀x,y:T. ((x R y)
⇒ (x (R^*) y))
BY
{ Auto }
1
1. [T] : Type
2. [R] : T ⟶ T ⟶ ℙ
3. x : T@i
4. y : T@i
5. x R y@i
⊢ x (R^*) y
Latex:
Latex:
\mforall{}[T:Type]. \mforall{}[R:T {}\mrightarrow{} T {}\mrightarrow{} \mBbbP{}]. \mforall{}x,y:T. ((x R y) {}\mRightarrow{} (x rel\_star(T; R) y))
By
Latex:
Auto
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