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Step * of Lemma sigma-elim-equality-rule2

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∀[X:j⊢]. ∀[A:{X ⊢ _}]. ∀[B:{X.A ⊢ _}]. ∀[T:{X.Σ A B ⊢ _}]. ∀[t1:{X.A.B ⊢ _:(T)SigmaUnElim}]. ∀[t2:{X.Σ A B ⊢ _:T}].
  (t1)SigmaElim = t2 ∈ {X.Σ A B ⊢ _:T} supposing t1 = (t2)SigmaUnElim ∈ {X.A.B ⊢ _:(T)SigmaUnElim}
BY
{ PresheafMLTTInstance Obid: ps-sigma-elim-equality-rule2⋅ }

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Latex:

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Latex:
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\mforall{}[X:j\mvdash{}].  \mforall{}[A:\{X  \mvdash{}  \_\}].  \mforall{}[B:\{X.A  \mvdash{}  \_\}].  \mforall{}[T:\{X.\mSigma{}  A  B  \mvdash{}  \_\}].  \mforall{}[t1:\{X.A.B  \mvdash{}  \_:(T)SigmaUnElim\}].
\mforall{}[t2:\{X.\mSigma{}  A  B  \mvdash{}  \_:T\}].
    (t1)SigmaElim  =  t2  supposing  t1  =  (t2)SigmaUnElim


By

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Latex:
PresheafMLTTInstance  Obid:  ps-sigma-elim-equality-rule2\mcdot{}

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