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Step * of Lemma presw_wf

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∀[G:j⊢]. ∀[phi:{G ⊢ _:𝔽}]. ∀[A,T:{G.𝕀 ⊢ _}]. ∀[f:{G.𝕀 ⊢ _:(T ⟶ A)}]. ∀[t:{G.𝕀, (phi)p ⊢ _:T}].
∀[t0:{G ⊢ _:(T)[0(𝕀)][phi |⟶ t[0]]}]. ∀[cT:composition-function{j:l,i:l}(G.𝕀;T)].
  (presw(G;phi;f;t;t0;cT) ∈ {G.𝕀 ⊢ _:A})
BY
{ ProveWfLemma }

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Latex:

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Latex:
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\mforall{}[G:j\mvdash{}].  \mforall{}[phi:\{G  \mvdash{}  \_:\mBbbF{}\}].  \mforall{}[A,T:\{G.\mBbbI{}  \mvdash{}  \_\}].  \mforall{}[f:\{G.\mBbbI{}  \mvdash{}  \_:(T  {}\mrightarrow{}  A)\}].  \mforall{}[t:\{G.\mBbbI{},  (phi)p  \mvdash{}  \_:T\}].
\mforall{}[t0:\{G  \mvdash{}  \_:(T)[0(\mBbbI{})][phi  |{}\mrightarrow{}  t[0]]\}].  \mforall{}[cT:composition-function\{j:l,i:l\}(G.\mBbbI{};T)].
    (presw(G;phi;f;t;t0;cT)  \mmember{}  \{G.\mBbbI{}  \mvdash{}  \_:A\})


By

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Latex:
ProveWfLemma

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