Mathlib Map

Theorems · Definition · field theory

Algebra.Transcendental.casesOn

{R : Type u} →
  {A : Type v} →
    [inst : CommRing R] →
      [inst_1 : Ring A] →
        [inst_2 : Algebra R A] →
          {motive : Algebra.Transcendental R A → Sort u_1} →
            (t : Algebra.Transcendental R A) → ((transcendental : ∃ x, Transcendental R x) → motive ⋯) → motive t
Defined in
Mathlib.RingTheory.Algebraic.Defs
Cited by
1 results in Mathlib
Foundations
Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingRingAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Algebra.TensorProduct.not_isField_of_transcendental · cited by 1TensorProduct.not_isField…CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraRing · cited by 7463RingTranscendental · cited by 91TranscendentalAlgebra.Transcendental · cited by 17Algebra.TranscendentalTranscendental.casesOnCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.