Theorems · Theorem · commutative algebra
WithVal.algebraMap_left_apply
∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero Γ₀] {S : Type u_3} [inst_1 : CommRing R]
(v : Valuation R Γ₀) [inst_2 : Semiring S] [inst_3 : Algebra R S] (s : WithVal v),
(algebraMap (WithVal v) S) s = (algebraMap R S) s.ofVal- Defined in
- Mathlib.Topology.Algebra.Valued.WithVal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 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 · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement · cited by 4,706
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- WithValstatement and proof · cited by 151
- WithVal.ofValstatement · cited by 47
Cited by1
Results whose statement or proof uses this declaration.
- IsDedekindDomain.HeightOneSpectrum.uniformContinuous_algebraMap_liesOverproof · cited by 0