Step * 1 of Lemma decidable-equal-deq


1. [T] Type
2. eq EqDecider(T)@i
⊢ ∀x,y:T.  Dec(x y ∈ T)
BY
(UseWitness ⌜deq-witness(eq)⌝⋅ THEN Auto) }


Latex:


Latex:

1.  [T]  :  Type
2.  eq  :  EqDecider(T)@i
\mvdash{}  \mforall{}x,y:T.    Dec(x  =  y)


By


Latex:
(UseWitness  \mkleeneopen{}deq-witness(eq)\mkleeneclose{}\mcdot{}  THEN  Auto)




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