Theorems · Theorem · order theory
MulArchimedeanClass.subsemigroup_strictAnti
∀ {M : Type u_1} [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M],
StrictAnti MulArchimedeanClass.subsemigroup- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- SetLike.coeproof · cited by 8,199
- LT.lt.leproof · cited by 2,189
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- le_of_eqproof · cited by 366
- Subsemigroupstatement · cited by 323
- UpperSetstatement and proof · cited by 245
- StrictAntistatement · cited by 204
- MulArchimedeanClassstatement and proof · cited by 81
- MulArchimedeanClass.mkproof · cited by 63
- SetLike.coe_ssubset_coeproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- FiniteMulArchimedeanClass.subgroup_strictAntiproof · cited by 1