Theorems · Theorem · group theory
Units.val_div_eq_div_val
∀ {α : Type u} [inst : DivisionMonoid α] (u₁ u₂ : αˣ), ↑(u₁ / u₂) = ↑u₁ / ↑u₂- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- DivisionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- div_eq_mul_invproof · cited by 715
- DivisionMonoidstatement and proof · cited by 201
- Units.val_inv_eq_inv_valproof · cited by 57
Cited by6
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.equiv_of_X_eq_of_Y_eqproof · cited by 4
- WeierstrassCurve.Projective.equiv_of_X_eq_of_Y_eqproof · cited by 4
- WeierstrassCurve.Jacobian.equiv_of_Z_eq_zeroproof · cited by 3
- WeierstrassCurve.Projective.equiv_of_Z_eq_zeroproof · cited by 3
- groupCohomology.exists_div_of_norm_eq_oneproof · cited by 1
- IsUnit.unit_divproof · cited by 0