Theorems · Theorem · group theory
WithZero.toAdd_unzero_eq_log
∀ {M : Type u_4} [inst : AddMonoid M] {x : WithZero (Multiplicative M)} (hx : x ≠ 0),
Multiplicative.toAdd (WithZero.unzero hx) = x.log- Defined in
- Mathlib.Algebra.GroupWithZero.WithZero
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
- Assumes
- AddMonoid
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
- AddMonoidstatement and proof · cited by 2,864
- Multiplicativestatement and proof · cited by 875
- WithZerostatement and proof · cited by 586
- WithZero.coeproof · cited by 186
- Multiplicative.toAddstatement and proof · cited by 161
- WithZero.logstatement · cited by 40
- WithZero.unzerostatement · cited by 38
Cited by4
Results whose statement or proof uses this declaration.
- WithZero.log_le_iff_le_expproof · cited by 2
- WithZero.log_lt_iff_lt_expproof · cited by 2
- WithZero.logEquiv_applyproof · cited by 1