Step
*
of Lemma
ancestral-logic-lemma1
∀x,y:Dom. (TC(λa,b.R a b)(x,y)
⇒ ((R x y) ∨ (∃z:Dom. ((R x z) ∧ TC(λa,b.R a b)(z,y)))))
BY
{ StartFO }
1
⊢ ∀x,y:Dom. (TC(λa,b.R a b)(x,y)
⇒ ((R x y) ∨ (∃z:Dom. ((R x z) ∧ TC(λa,b.R a b)(z,y)))))
Latex:
\mforall{}x,y:Dom. (TC(\mlambda{}a,b.R a b)(x,y) {}\mRightarrow{} ((R x y) \mvee{} (\mexists{}z:Dom. ((R x z) \mwedge{} TC(\mlambda{}a,b.R a b)(z,y)))))
By
StartFO
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