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perf(Incompleteness): avoid kernel reduction in term construction proofs #713

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8 changes: 7 additions & 1 deletion LeanPool/Incompleteness/Arithmetization/ISigmaOne/Metamath/Term/Basic.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -803,7 +803,13 @@ def construction : Language.TermRec.Construction V L (blueprint pL) where
func (_ _ _ _ v') := listMax v'
bvar_defined := by intro v; simp [blueprint]
fvar_defined := by intro v; simp [blueprint]
func_defined := by intro v; simp [blueprint]
func_defined := by
intro v
simp only [blueprint]
-- Avoid reducing the large encoded formula during kernel conversion.
rw [HierarchySymbol.Semiformula.val_mkSigma]
rw [Semiformula.eval_substs]
simp

end BV
end IsUTerm
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8 changes: 7 additions & 1 deletion LeanPool/Incompleteness/Arithmetization/ISigmaOne/Metamath/Term/Functions.lean
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Expand Up @@ -42,7 +42,13 @@ def construction : Language.TermRec.Construction V L (blueprint pL) where
bvar (param z) := (param 1).[z]
fvar (_ x) := ^&x
func (_ k f _ v') := ^func k f v'
bvar_defined := by intro v; simp [blueprint]
bvar_defined := by
intro v
simp only [blueprint]
-- Avoid reducing the large encoded formula during kernel conversion.
rw [HierarchySymbol.Semiformula.val_mkSigma]
rw [Semiformula.eval_substs]
simp
fvar_defined := by intro v; simp [blueprint]
func_defined := by intro v; simp [blueprint]

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