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theories/borel_hierarchy.v
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(* mathcomp analysis (c) 2026 Inria and AIST. License: CeCILL-C. *)
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+From HB Require Import structures.
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From mathcomp Require Import all_ssreflect_compat algebra.
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From mathcomp Require Import boolp classical_sets functions cardinality.
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From mathcomp Require Import reals topology normedtype sequences.
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End borel_normedModType.
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+#[non_forgetful_inheritance]
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+HB.instance Definition _ (R : realType) (V : normedModType R) :=
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+ Measurable.copy V (borel_type V).
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+
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Lemma not_rational_Gdelta (R : realType) : ~ Gdelta (@rational R).
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Proof.
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apply/forall2NP => A; apply/not_andP => -[oA ratrA].
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