Theorems · Theorem · order theory
LocallyFiniteOrder.orderAddMonoidHom_bijective
∀ {G : Type u_2} [inst : AddCommGroup G] [inst_1 : LinearOrder G] [inst_2 : IsOrderedAddMonoid G]
[inst_3 : LocallyFiniteOrder G] [Nontrivial G], Function.Bijective ⇑(LocallyFiniteOrder.orderAddMonoidHom G)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
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
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- mul_oneproof · cited by 3,885
- LE.le.transproof · cited by 3,151
- Nat.cast_oneproof · cited by 2,501
- Nontrivialstatement and proof · cited by 2,416
- Finset.cardproof · cited by 2,327
- LT.lt.leproof · cited by 2,189
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Function.Bijectivestatement · cited by 863
- LocallyFiniteOrderstatement and proof · cited by 658
Cited by1
Results whose statement or proof uses this declaration.
- LocallyFiniteOrder.orderAddMonoidEquivproof · cited by 1