Theorems · Theorem · order theory
ArchimedeanClass.mk_sub_lt_mk_right_iff
∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M] {a b : M},
ArchimedeanClass.mk (a - b) < ArchimedeanClass.mk b ↔ ArchimedeanClass.mk a < ArchimedeanClass.mk b- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- ArchimedeanClassstatement · cited by 247
- ArchimedeanClass.mkstatement · cited by 174
- le_iff_le_iff_lt_iff_ltproof · cited by 25
- ArchimedeanClass.mk_right_le_mk_sub_iffproof · cited by 1
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