Theorems · Theorem · order theory
MulArchimedeanClass.one_lt_of_one_lt_of_mk_lt
∀ {M : Type u_1} [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M] {a b : M},
1 < a → MulArchimedeanClass.mk a < MulArchimedeanClass.mk (b / a) → 1 < b- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- LT.lt.leproof · cited by 2,189
- 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_invproof · cited by 9
- MulArchimedeanClass.lt_of_mk_lt_mk_of_le_oneproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.