Operations Priority: Simplification Rules

Related lectures (30)

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Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

Covers the properties and definitions of subtraction using addition and multiplication as a basis.

Explores associative operations on tuples and sets, demonstrating their properties through various examples and proofs.

Explains the definition and properties of integer multiplication in various scenarios.

Covers the concept of natural numbers, including properties like commutativity and associativity.

Introduces group theory concepts, including definitions and properties of groups, rings, and fields.

Covers the addition of fractions and properties of rational numbers, emphasizing associativity and summing fractions with the same denominator.

Explores natural numbers, their properties, operations, and practical applications like calculating hours in a year.

Showcases the use of assertions in Stainless to prove properties of fractions.

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.