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Theorems · Definition · logic and foundations

FirstOrder.Ring.CompatibleRing.noConfusionType

Sort u →
  {R : Type u_2} →
    [inst : Add R] →
      [inst_1 : Mul R] →
        [inst_2 : Neg R] →
          [inst_3 : One R] →
            [inst_4 : Zero R] →
              FirstOrder.Ring.CompatibleRing R →
                {R' : Type u_2} →
                  [inst' : Add R'] →
                    [inst'_1 : Mul R'] →
                      [inst'_2 : Neg R'] →
                        [inst'_3 : One R'] → [inst'_4 : Zero R'] → FirstOrder.Ring.CompatibleRing R' → Sort u
Defined in
Mathlib.ModelTheory.Algebra.Ring.Basic
Cited by
0 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext
Assumes
AddMulNegOneZeroAddMulNegOneZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FirstOrder.Ring.CompatibleRing.noConfusion · cited by 0CompatibleRing.noConfusionFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Structure.funMap · cited by 69Structure.funMapFirstOrder.Language.ring · cited by 36Language.ringFirstOrder.Ring.CompatibleRing · cited by 27Ring.CompatibleRingFirstOrder.Ring.mulFunc · cited by 2Ring.mulFuncFirstOrder.Ring.negFunc · cited by 2Ring.negFuncFirstOrder.Ring.oneFunc · cited by 2Ring.oneFuncFirstOrder.Ring.addFunc · cited by 2Ring.addFuncFirstOrder.Ring.zeroFunc · cited by 2Ring.zeroFuncFirstOrder.Ring.CompatibleRing.casesOn · cited by 0CompatibleRing.casesOnCompatibleRing.noConfusionTypeCITED BYCITES

Cites10

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Cited by1

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