Theorems · Theorem · group theory
WithZero.unzero_mul
∀ {α : Type u_1} [inst : Mul α] {x y : WithZero α} (hxy : x * y ≠ 0),
WithZero.unzero hxy = WithZero.unzero ⋯ * WithZero.unzero ⋯- Defined in
- Mathlib.Algebra.GroupWithZero.WithZero
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- Mul
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- WithZerostatement and proof · cited by 586
- WithZero.unzerostatement · cited by 38
- right_ne_zero_of_mulstatement and proof · cited by 38
- left_ne_zero_of_mulstatement and proof · cited by 27
- WithZero.coe_unzeroproof · cited by 17
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