Theorems · Definition
Multiplicative
Type u_1 → Type u_1
If α carries some additive structure, then Multiplicative α carries the corresponding
multiplicative structure.
- Defined in
- Mathlib.Algebra.Group.TypeTags.Basic
- Cited by
- 875 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by1,063
Results whose statement or proof uses this declaration.
- Multiplicative.ofAddstatement and proof · cited by 237
- Multiplicative.toAddstatement · cited by 161
- IsDedekindDomain.HeightOneSpectrum.valuationstatement · cited by 130
- SkewPolynomialproof · cited by 124
- WithZero.expstatement · cited by 112
- AddValuationproof · cited by 96
- IsDedekindDomain.HeightOneSpectrum.intValuationstatement · cited by 53
- SkewPolynomial.monomialstatement · cited by 49
- FreeCommRingproof · cited by 43
- WithZero.logstatement and proof · cited by 40
- SkewPolynomial.Cstatement · cited by 32
- WithZeroMulInt.toNNRealstatement and proof · cited by 28
Showing the 200 most cited of 1,063.