Theorems · Theorem · group theory
IsRegular.all
∀ {R : Type u_2} [inst : Mul R] [IsCancelMul R] (g : R), IsRegular gIf all multiplications cancel then every element is regular.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- MulIsCancelMul
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsRegularstatement · cited by 116
- IsCancelMulstatement and proof · cited by 32
- IsLeftRegular.allproof · cited by 4
- IsRightRegular.allproof · cited by 3
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