Reference · Non-negative rationals
rainbow.math.rational.nnrat.product-reassociation
Associativity and factor reassociation for native nonnegative rationals.
nnrat/multiply-associative
nnrat/multiply-associative : (a b c : ℚ≥0) → a · b · c = a · (b · c)
= = nnrat/equivalent: equality of rational values· = nnrat/multiplyℚ≥0 = nnrat/NonnegativeRational
nnrat/multiply-swap-right
nnrat/multiply-swap-right : (a b c : ℚ≥0) → a · b · c = a · c · b
= = nnrat/equivalent: equality of rational values· = nnrat/multiplyℚ≥0 = nnrat/NonnegativeRational
nnrat/multiply-four-reorder
nnrat/multiply-four-reorder : (a b c d : ℚ≥0) → a · b · (c · d) = a · c · (b · d)
= = nnrat/equivalent: equality of rational values· = nnrat/multiplyℚ≥0 = nnrat/NonnegativeRational