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chore: remove redundant comment, fix typo in FixedPoints
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
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Mathlib/Order/FixedPoints.lean

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@@ -106,10 +106,6 @@ theorem lfp_induction {p : α → Prop} (step : ∀ a, p a → a ≤ f.lfp → p
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have hmem : f (sSup s) ∈ s := ⟨f.map_le_lfp h, step _ hSup h⟩
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exact h.antisymm (f.lfp_le <| le_sSup hmem)
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-- le_gfp, gfp_le, gfp_le_fixed, gfp_le_map, map_gfp, isFixedPt_gfp,
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-- map_le_gfp, isGreatest_gfp_le, isGreatest_gfp, gfp_induction
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-- auto-generated by @[to_dual]
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theorem lfp_le_gfp : f.lfp ≤ f.gfp :=
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f.lfp_le_fixed f.isFixedPt_gfp
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@@ -243,7 +239,7 @@ instance completeLattice : CompleteLattice (fixedPoints f) where
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open OmegaCompletePartialOrder fixedPoints
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/-- **Kleene's fixed point Theorem**: The least fixed point in a complete lattice is
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the supremum of iterating a function on bottom arbitrary often. -/
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the supremum of iterating a function on bottom arbitrarily often. -/
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-- TODO: can't @[to_dual] because bot_le/le_top mismatch in ωSup_iterate proof
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theorem lfp_eq_sSup_iterate (h : ωScottContinuous f) :
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f.lfp = ⨆ n, f^[n] ⊥ := by

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