Theorems · Theorem · number theory
WithZero.toAdd_unzero_eq_iff
∀ {α : Type u_3} {a : WithZero (Multiplicative α)} (h : a ≠ 0) (b : α),
Multiplicative.toAdd (WithZero.unzero h) = b ↔ a = ↑(Multiplicative.ofAdd b)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Multiplicativestatement and proof · cited by 875
- WithZerostatement and proof · cited by 586
- Multiplicative.ofAddstatement and proof · cited by 237
- WithZero.coestatement and proof · cited by 186
- Multiplicative.toAddstatement and proof · cited by 161
- WithZero.unzerostatement and proof · cited by 38
- WithZero.coe_unzeroproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.ord_eq_iffproof · cited by 2