Step
*
of Lemma
sigma-elim-equality-rule
No Annotations
∀[X:j⊢]. ∀[A:{X ⊢ _}]. ∀[B:{X.A ⊢ _}]. ∀[T:{X.Σ A B ⊢ _}]. ∀[t1,t2:{X.A.B ⊢ _:(T)SigmaUnElim}].
  (t1)SigmaElim = (t2)SigmaElim ∈ {X.Σ A B ⊢ _:T} supposing t1 = t2 ∈ {X.A.B ⊢ _:(T)SigmaUnElim}
BY
{ PresheafMLTTInstance Obid: ps-sigma-elim-equality-rule⋅ }
Latex:
Latex:
No  Annotations
\mforall{}[X:j\mvdash{}].  \mforall{}[A:\{X  \mvdash{}  \_\}].  \mforall{}[B:\{X.A  \mvdash{}  \_\}].  \mforall{}[T:\{X.\mSigma{}  A  B  \mvdash{}  \_\}].  \mforall{}[t1,t2:\{X.A.B  \mvdash{}  \_:(T)SigmaUnElim\}].
    (t1)SigmaElim  =  (t2)SigmaElim  supposing  t1  =  t2
By
Latex:
PresheafMLTTInstance  Obid:  ps-sigma-elim-equality-rule\mcdot{}
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