Theorems · Theorem · commutative algebra
mul_mem_nonunits_left
∀ {α : Type u_2} {a b : α} [inst : CommMonoid α], a ∈ nonunits α → a * b ∈ nonunits α- Defined in
- Mathlib.RingTheory.Ideal.Nonunits
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- CommMonoid
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CommMonoidstatement and proof · cited by 2,264
- nonunitsstatement · cited by 35
- isUnit_of_mul_isUnit_leftproof · cited by 12
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