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Implemented proofs for the majority of propositions and exercises in Section 4.3.#441

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younesselassri08-maker wants to merge 1 commit intoteorth:mainfrom
younesselassri08-maker:patch-3
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Implemented proofs for the majority of propositions and exercises in Section 4.3.#441
younesselassri08-maker wants to merge 1 commit intoteorth:mainfrom
younesselassri08-maker:patch-3

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Main changes:

  • Fundamental properties of absolute value and distance (triangle inequality, multiplicativity, symmetry).
  • Proofs of theorems regarding "ε-closeness" (transitivity, arithmetic operations).
  • Proofs of exponentiation laws for natural numbers (pow_add, pow_mul, mul_pow).
  • Solved Exercise 4.3.5 (two_pow_geq).

…Section 4.3.

Main changes:
- Fundamental properties of absolute value and distance (triangle inequality, multiplicativity, symmetry).
- Proofs of theorems regarding "ε-closeness" (transitivity, arithmetic operations).
- Proofs of exponentiation laws for natural numbers (`pow_add`, `pow_mul`, `mul_pow`).
- Solved Exercise 4.3.5 (`two_pow_geq`).
@teorth teorth closed this Feb 7, 2026
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