Theorems · Definition · commutative algebra
MulRingSeminorm.toAddGroupSeminorm
{R : Type u_2} → [inst : NonAssocRing R] → MulRingSeminorm R → AddGroupSeminorm R- Cited by
- 14 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- NonAssocRing
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.
- NonAssocRingstatement and proof · cited by 483
- AddGroupSeminormstatement · cited by 50
- MulRingSeminormstatement and proof · cited by 12
Cited by29
Results whose statement or proof uses this declaration.
- MulRingNorm.mulRingNormEquivAbsoluteValueproof · cited by 4
- MulRingSeminorm.map_one'statement · cited by 1
- MulRingNorm.mk.injstatement and proof · cited by 1
- MulRingNorm.mk.noConfusionstatement and proof · cited by 1
- MulAlgebraNorm.mk.injstatement and proof · cited by 1
- MulAlgebraNorm.mk.noConfusionstatement and proof · cited by 1
- MulAlgebraNorm.smul'statement · cited by 1
- MulAlgebraNorm.toFun_eq_coestatement · cited by 1
- MulRingNorm.eq_zero_of_map_eq_zero'statement · cited by 1
- MulAlgebraNorm.toAlgebraNormproof · cited by 1
- MulRingSeminorm.map_mul'statement · cited by 0
- spectralNorm_unique_field_norm_extproof · cited by 0