Theorems · Theorem · order theory
MulArchimedeanClass.mk_mul_eq_mk_right
∀ {M : Type u_1} [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M] {a b : M},
MulArchimedeanClass.mk b < MulArchimedeanClass.mk a → MulArchimedeanClass.mk (a * b) = MulArchimedeanClass.mk b- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 1 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.
- LinearOrderstatement and proof · cited by 8,572
- mul_commproof · cited by 2,262
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- MulArchimedeanClassstatement · cited by 81
- MulArchimedeanClass.mkstatement and proof · cited by 63
- MulArchimedeanClass.mk_mul_eq_mk_leftproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MulArchimedeanClass.mk_div_eq_mk_rightproof · cited by 0