Theorems · Theorem · order theory
LocallyFiniteOrder.orderMonoidHom_strictMono
∀ {G : Type u_3} [inst : CommGroup G] [inst_1 : LinearOrder G] [inst_2 : IsOrderedMonoid G]
[inst_3 : LocallyFiniteOrder G], StrictMono ⇑(LocallyFiniteOrder.orderMonoidHom G)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- CommGroupstatement and proof · cited by 990
- Multiplicativestatement · cited by 875
- StrictMonostatement · cited by 706
- LocallyFiniteOrderstatement and proof · cited by 658
- IsOrderedMonoidstatement and proof · cited by 577
- Additiveproof · cited by 356
- Multiplicative.toAddproof · cited by 161
- OrderMonoidHomstatement · cited by 67
- LocallyFiniteOrder.orderMonoidHomstatement · cited by 4
- LocallyFiniteOrder.orderAddMonoidHom_strictMonoproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- MulArchimedean.of_locallyFiniteOrderproof · cited by 1
- LocallyFiniteOrder.orderMonoidWithZeroHom_strictMonoproof · cited by 0