Theorems · Theorem · order theory
ArchimedeanClass.mk_monotoneOn
∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M],
MonotoneOn ArchimedeanClass.mk (Set.Iic 0)- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
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
- absproof · cited by 1,814
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Set.Iicstatement and proof · cited by 1,111
- not_leproof · cited by 328
- MonotoneOnstatement · cited by 311
- ArchimedeanClassstatement · cited by 247
- ArchimedeanClass.mkstatement and proof · cited by 174
- one_nsmulproof · cited by 63
- neg_lt_neg_iffproof · cited by 39
- abs_eq_neg_selfproof · cited by 14
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