Theorems · Definition · logic and foundations
FirstOrder.Ring.mulOfRingStructure
(R : Type u_2) → [FirstOrder.Language.ring.Structure R] → Mul R
A def to put an Mul instance on a type with a Language.ring.Structure instance.
To be used sparingly, usually only when defining a more useful definition like,
[Language.ring.Structure K] -> [Theory.field.Model K] -> Field K
- Defined in
- Mathlib.ModelTheory.Algebra.Ring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Structure.funMapproof · cited by 69
- FirstOrder.Language.ringstatement and proof · cited by 36
- FirstOrder.Ring.mulFuncproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Ring.compatibleRingOfRingStructurestatement · cited by 0