Theorems · Inductive type · ring theory
NonAssocRing
Type u_1 → Type u_1
A unital but not-necessarily-associative ring.
- Defined in
- Mathlib.Algebra.Ring.Defs
- Cited by
- 483 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by577
Results whose statement or proof uses this declaration.
- Subringstatement · cited by 602
- Int.castRingHomstatement and proof · cited by 254
- RingHom.injectivestatement and proof · cited by 187
- RingHom.rangestatement and proof · cited by 138
- eq_intCaststatement and proof · cited by 127
- zsmul_eq_mulstatement and proof · cited by 120
- Int.cast_mulstatement and proof · cited by 113
- Subring.closurestatement and proof · cited by 78
- Subring.toSubsemiringstatement and proof · cited by 71
- map_intCaststatement and proof · cited by 45
- Subring.mapstatement and proof · cited by 33
- Subring.opstatement and proof · cited by 32
Showing the 200 most cited of 577.