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Theorems · Definition · logic and foundations

FirstOrder.Field.FieldAxiom.ctorElim

{motive : FirstOrder.Field.FieldAxiom → Sort u} →
  (ctorIdx : ℕ) →
    (t : FirstOrder.Field.FieldAxiom) →
      ctorIdx = t.ctorIdx → FirstOrder.Field.FieldAxiom.ctorElimType ctorIdx → motive t
Defined in
Mathlib.ModelTheory.Algebra.Field.Basic
Cited by
0 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
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Around this declaration

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

FirstOrder.Field.FieldAxiom.addAssoc.elim · cited by 0addAssoc.elimFirstOrder.Field.FieldAxiom.existsInv.elim · cited by 0existsInv.elimFirstOrder.Field.FieldAxiom.existsPairNE.elim · cited by 0existsPairNE.elimFirstOrder.Field.FieldAxiom.zeroAdd.elim · cited by 0zeroAdd.elimFirstOrder.Field.FieldAxiom.leftDistrib.elim · cited by 0leftDistrib.elimFirstOrder.Field.FieldAxiom.mulAssoc.elim · cited by 0mulAssoc.elimFirstOrder.Field.FieldAxiom.mulComm.elim · cited by 0mulComm.elimFirstOrder.Field.FieldAxiom.negAddCancel.elim · cited by 0negAddCancel.elimFirstOrder.Field.FieldAxiom.oneMul.elim · cited by 0oneMul.elimFirstOrder.Field.FieldAxiom · cited by 11Field.FieldAxiomFirstOrder.Field.FieldAxiom.casesOn · cited by 1FieldAxiom.casesOnFirstOrder.Field.FieldAxiom.ctorIdx · cited by 0FieldAxiom.ctorIdxFirstOrder.Field.FieldAxiom.ctorElimType · cited by 0FieldAxiom.ctorElimTypeFieldAxiom.ctorElimCITED BYCITES

Cites4

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

Cited by9

Results whose statement or proof uses this declaration.