Theorems · Theorem · commutative algebra
WithVal.map_apply
∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero Γ₀] [inst_1 : Ring R] (v : Valuation R Γ₀)
{S : Type u_3} [inst_2 : Ring S] {Λ₀ : Type u_4} [inst_3 : LinearOrderedCommGroupWithZero Λ₀] (w : Valuation S Λ₀)
(f : R →+* S) (x : WithVal v), (WithVal.map v w f) x = WithVal.toVal w (f x.ofVal)- Defined in
- Mathlib.Topology.Algebra.Valued.WithVal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- WithValstatement and proof · cited by 151
- WithVal.ofValstatement · cited by 47
- WithVal.mapstatement · cited by 3
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