feat(Regularized): prove to_SupRegularized and of_Subadditive#1022
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pitmonticone wants to merge 1 commit intoleanprover-community:masterfrom
Open
feat(Regularized): prove to_SupRegularized and of_Subadditive#1022pitmonticone wants to merge 1 commit intoleanprover-community:masterfrom
to_SupRegularized and of_Subadditive#1022pitmonticone wants to merge 1 commit intoleanprover-community:masterfrom
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Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
jstoobysmith
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Apr 6, 2026
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| have liminf_neg : Filter.liminf fn Filter.atTop = -(Filter.limsup (-fn) Filter.atTop) := by | ||
| simp [Filter.limsup_eq, Filter.liminf_eq, Real.sInf_def] | ||
| exact Real.ext_cauchy (congrArg Real.cauchy liminf_neg) |
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| have liminf_neg : Filter.liminf fn Filter.atTop = -(Filter.limsup (-fn) Filter.atTop) := by | |
| simp [Filter.limsup_eq, Filter.liminf_eq, Real.sInf_def] | |
| exact Real.ext_cauchy (congrArg Real.cauchy liminf_neg) | |
| refine Real.ext_cauchy (congrArg Real.cauchy ?_) | |
| simp [Filter.limsup_eq, Filter.liminf_eq, Real.sInf_def] |
Haven't checked, and will leave it to the QuantumInfo folk for a proper review. But this might be shorter.
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This PR adds proofs autoformalised by @Aristotle-Harmonic.
Co-authored-by: Aristotle (Harmonic) aristotle-harmonic@harmonic.fun