Mathlib Map

Theorems · Definition · logic and foundations

FirstOrder.Field.FieldAxiom.recOn

{motive : FirstOrder.Field.FieldAxiom → Sort u} →
  (t : FirstOrder.Field.FieldAxiom) →
    motive FirstOrder.Field.FieldAxiom.addAssoc →
      motive FirstOrder.Field.FieldAxiom.zeroAdd →
        motive FirstOrder.Field.FieldAxiom.negAddCancel →
          motive FirstOrder.Field.FieldAxiom.mulAssoc →
            motive FirstOrder.Field.FieldAxiom.mulComm →
              motive FirstOrder.Field.FieldAxiom.oneMul →
                motive FirstOrder.Field.FieldAxiom.existsInv →
                  motive FirstOrder.Field.FieldAxiom.leftDistrib →
                    motive FirstOrder.Field.FieldAxiom.existsPairNE → motive t
Defined in
Mathlib.ModelTheory.Algebra.Field.Basic
Cited by
0 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FirstOrder.Field.FieldAxiom · cited by 11Field.FieldAxiomFieldAxiom.recOnCITED BYCITES

Cites1

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.