Theorems · Theorem · group theory
WithZero.log_inv
∀ {G : Type u_5} [inst : AddGroup G] (x : WithZero (Multiplicative G)), x⁻¹.log = -x.log- Defined in
- Mathlib.Algebra.GroupWithZero.WithZero
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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.
- AddGroupstatement and proof · cited by 4,410
- Multiplicativestatement and proof · cited by 875
- WithZerostatement and proof · cited by 586
- neg_zeroproof · cited by 542
- inv_zeroproof · cited by 184
- WithZero.logstatement and proof · cited by 40
Cited by3
Results whose statement or proof uses this declaration.
- Padic.isUniformInducing_cast_withValproof · cited by 2
- Padic.norm_eq_zpow_log_mulValuationproof · cited by 0
- WithZero.log_zpowproof · cited by 0