Step
*
of Lemma
decidable__uimplies
∀[P:ℙ]. ∀Q:⋂x:P. ℙ. (Dec(P)
⇒ Dec(Q) supposing P
⇒ Dec(Q supposing P))
BY
{ Auto }
1
.....decidable?.....
1. [P] : ℙ
2. Q : ⋂x:P. ℙ@i'
3. Dec(P)@i
4. Dec(Q) supposing P@i
⊢ Dec(Q supposing P)
Latex:
Latex:
\mforall{}[P:\mBbbP{}]. \mforall{}Q:\mcap{}x:P. \mBbbP{}. (Dec(P) {}\mRightarrow{} Dec(Q) supposing P {}\mRightarrow{} Dec(Q supposing P))
By
Latex:
Auto
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