Theorems · Theorem · group theory
Units.mk0_mul
∀ {G₀ : Type u_3} [inst : GroupWithZero G₀] (x y : G₀) (hxy : x * y ≠ 0),
Units.mk0 (x * y) hxy = Units.mk0 x ⋯ * Units.mk0 y ⋯- Cited by
- 3 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsstatement · cited by 2,804
- Units.valproof · cited by 1,966
- GroupWithZerostatement and proof · cited by 691
- Units.mk0statement and proof · cited by 181
- Units.extproof · cited by 86
- mul_ne_zero_iffstatement · cited by 39
Cited by3
Results whose statement or proof uses this declaration.
- MonoidWithZeroHom.ValueGroup₀.zero_or_exists_mkproof · cited by 3
- Units.mk0_prodproof · cited by 2
- MonoidWithZeroHom.valueGroup.mk_mulproof · cited by 0