Complete proof for triangle inequality #435
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…grals - Main theorem: ComplexAbsolutelyIntegrable.abs_le (‖∫f‖ ≤ ∫|f|) - Real integral helpers: abs_integ_le, integ_smul', integ_add', integ_sub' - Complex integral helpers: re_abs_integ_le, integ_smul, abs_smul_unit, integ_re_eq_re_integ - Key identities: Real.pos_neg_add_identity, EReal.pos_neg_add_identity - Scaling lemmas: pos_fun/neg_fun behavior under scalar multiplication Proof uses rotation trick: multiply by unit complex number to reduce to real case.
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Summary
Complete proofs for Lemma 1.3.19 (Triangle inequality) and its helpers:
Other: