Theorems · Theorem · commutative algebra
IsAddRegular.nsmul_iff
∀ {R : Type u_1} [inst : AddMonoid R] {a : R} {n : ℕ}, 0 < n → (IsAddRegular (n • a) ↔ IsAddRegular a)- Defined in
- Mathlib.Algebra.Regular.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- AddMonoid
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- IsAddRegularstatement and proof · cited by 43
- IsAddRegular.leftproof · cited by 8
- IsAddRegular.rightproof · cited by 7
- IsAddLeftRegular.nsmulproof · cited by 4
- IsAddRightRegular.nsmulproof · cited by 3
- IsAddLeftRegular.nsmul_iffproof · cited by 1
- IsAddRightRegular.nsmul_iffproof · cited by 1
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