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Reference · Signed rationals

rainbow.math.rational.signed.equivalence-laws

Signed rationalssrc/rainbow/math/rational/signed/equivalence_laws.clj0 definitions, 2 theorems

Symmetry and negation transport for Grothendieck-pair signed equivalence.

signed/equivalent-symmetric

TheoremFor all inputsNo axiomsSource, line 36

signed/equivalent-symmetric :
  (left right : ℚ)
  (same : left = right)
  → right = left

= = signed/equivalent: equality of rational valuesℚ = signed/SignedRational

signed/negate-respects-equivalence

TheoremFor all inputsNo axiomsSource, line 54

signed/negate-respects-equivalence :
  (left right : ℚ)
  (same : left = right)
  → signed/negate left = signed/negate right

= = signed/equivalent: equality of rational valuesℚ = signed/SignedRational