Theorems · Theorem · order theory
MulArchimedean.comap
∀ {G : Type u_1} {M : Type u_2} [inst : CommMonoid G] [inst_1 : LinearOrder G] [inst_2 : CommMonoid M]
[inst_3 : PartialOrder M] [MulArchimedean M] (f : G →* M), StrictMono ⇑f → MulArchimedean G- Defined in
- Mathlib.Algebra.Order.Archimedean.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- LinearOrderstatement and proof · cited by 8,572
- PartialOrderstatement and proof · cited by 6,410
- MonoidHomstatement and proof · cited by 3,629
- CommMonoidstatement and proof · cited by 2,264
- map_oneproof · cited by 861
- StrictMonostatement and proof · cited by 706
- StrictMono.le_iff_leproof · cited by 104
- MulArchimedeanstatement and proof · cited by 45
- MulArchimedean.archproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- Valuation.nonempty_rankOne_iff_mulArchimedeanproof · cited by 1
- ValuativeRel.isRankLeOne_iff_mulArchimedeanproof · cited by 1
- ValuativeRel.IsRankLeOne.of_compatible_mulArchimedeanproof · cited by 1
- MulArchimedean.of_locallyFiniteOrderproof · cited by 1
- ValuativeRel.nonempty_orderIso_withZeroMul_int_iffproof · cited by 1