Theorems · Theorem · order theory
algebraMap_strictMono
∀ {α : Type u_1} (β : Type u_2) [inst : CommSemiring α] [inst_1 : PartialOrder α] [inst_2 : Semiring β]
[inst_3 : PartialOrder β] [inst_4 : Algebra α β] [ZeroLEOneClass β] [Nontrivial β] [SMulPosStrictMono α β],
StrictMono ⇑(algebraMap α β)- Defined in
- Mathlib.Algebra.Order.Algebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses 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.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- PartialOrderstatement and proof · cited by 6,410
- Algebra.algebraMapstatement and proof · cited by 4,706
- mul_oneproof · cited by 3,885
- Nontrivialstatement and proof · cited by 2,416
- StrictMonostatement and proof · cited by 706
- ZeroLEOneClassstatement and proof · cited by 304
- Algebra.smul_defproof · cited by 287
Cited by1
Results whose statement or proof uses this declaration.
- algebraMap_posproof · cited by 0