Theorems · Theorem · group theory
WithZero.coe_unzero
∀ {α : Type u} {x : WithZero α} (hx : x ≠ 0), ↑(WithZero.unzero hx) = x- Defined in
- Mathlib.Algebra.Group.WithOne.Defs
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.coestatement and proof · cited by 186
- WithZero.unzerostatement and proof · cited by 38
Cited by17
Results whose statement or proof uses this declaration.
- LinearOrderedCommGroupWithZero.discrete_iff_not_denselyOrderedproof · cited by 4
- WithZero.exists_ne_zero_and_ltproof · cited by 2
- Valuation.exists_div_eq_of_unitproof · cited by 2
- WithZero.unzeroD_eq_unzeroproof · cited by 2
- WithZero.le_ofAdd_of_toAdd_unzero_leproof · cited by 1
- LaurentSeries.exists_Polynomial_intValuation_ltproof · cited by 1
- WithZero.toAdd_unzero_eq_iffproof · cited by 1
- WithZero.toAdd_unzero_le_of_lt_ofAddproof · cited by 1
- WithZero.toAdd_unzero_lt_of_lt_ofAddproof · cited by 1
- WithZero.lt_ofAdd_of_toAdd_unzero_ltproof · cited by 1