Theorems · Theorem · order theory
ArchimedeanClass.mk_add_eq_mk_right
∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M] {a b : M},
ArchimedeanClass.mk b < ArchimedeanClass.mk a → ArchimedeanClass.mk (a + b) = ArchimedeanClass.mk b- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- add_commproof · cited by 1,535
- ArchimedeanClassstatement · cited by 247
- ArchimedeanClass.mkstatement and proof · cited by 174
- ArchimedeanClass.mk_add_eq_mk_leftproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- ArchimedeanClass.stdPart_add_eq_rightproof · cited by 2
- ArchimedeanClass.mk_sub_eq_mk_rightproof · cited by 0