Step * 1 of Lemma simple-comb1_wf


1. Info Type
2. Type
3. Type
4. bag(A) ─→ bag(B)
5. EClass(A)
⊢ simple-comb(λw.F[w 0];λz.[X][z]) ∈ EClass(B)
BY
((InstLemma `simple-comb_wf` [⌈Info⌉;⌈B⌉;⌈1⌉;⌈λ2x.A⌉]⋅ THENA Auto) THEN BHyp -1  THEN Auto')⋅ }


Latex:



Latex:

1.  Info  :  Type
2.  A  :  Type
3.  B  :  Type
4.  F  :  bag(A)  {}\mrightarrow{}  bag(B)
5.  X  :  EClass(A)
\mvdash{}  simple-comb(\mlambda{}w.F[w  0];\mlambda{}z.[X][z])  \mmember{}  EClass(B)


By


Latex:
((InstLemma  `simple-comb\_wf`  [\mkleeneopen{}Info\mkleeneclose{};\mkleeneopen{}B\mkleeneclose{};\mkleeneopen{}1\mkleeneclose{};\mkleeneopen{}\mlambda{}\msubtwo{}x.A\mkleeneclose{}]\mcdot{}  THENA  Auto)  THEN  BHyp  -1    THEN  Auto')\mcdot{}




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