Theorems · Theorem · field theory
RingHom.map_rat_algebraMap
∀ {R : Type u_2} {S : Type u_3} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : Algebra ℚ R] [inst_3 : Algebra ℚ S]
(f : R →+* S) (r : ℚ), f ((algebraMap ℚ R) r) = (algebraMap ℚ S) r- Defined in
- Mathlib.Algebra.Algebra.Rat
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- RingHomstatement and proof · cited by 10,189
- Algebra.algebraMapstatement and proof · cited by 4,706
- RingHom.compproof · cited by 899
- RingHom.ext_iffproof · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- PowerSeries.map_sinproof · cited by 0
- PowerSeries.map_logproof · cited by 0
- PowerSeries.map_cosproof · cited by 0
- PowerSeries.map_expproof · cited by 0