Theorems · Theorem · order theory
ArchimedeanClass.mk_div
∀ {R : Type u_1} [inst : LinearOrder R] [inst_1 : Field R] [inst_2 : IsOrderedRing R] (x y : R),
ArchimedeanClass.mk (x / y) = ArchimedeanClass.mk x - ArchimedeanClass.mk y- Defined in
- Mathlib.Algebra.Order.Ring.Archimedean
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- sub_eq_add_negproof · cited by 1,023
- IsOrderedRingstatement and proof · cited by 777
- div_eq_mul_invproof · cited by 715
- ArchimedeanClassstatement and proof · cited by 247
- ArchimedeanClass.mkstatement and proof · cited by 174
- ArchimedeanClass.mk_invproof · cited by 3
- ArchimedeanClass.mk_mulproof · cited by 1
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