Theorems · Definition · commutative algebra
RingSeminorm.toAddGroupSeminorm
{R : Type u_2} → [inst : NonUnitalNonAssocRing R] → RingSeminorm R → AddGroupSeminorm R- Cited by
- 16 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- NonUnitalNonAssocRing
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.
- NonUnitalNonAssocRingstatement and proof · cited by 354
- RingSeminormstatement and proof · cited by 58
- AddGroupSeminormstatement · cited by 50
Cited by31
Results whose statement or proof uses this declaration.
- exists_nonarchimedean_pow_mul_seminorm_of_finiteDimensionalproof · cited by 5
- spectralMulAlgNormproof · cited by 5
- RingSeminorm.toRingNormproof · cited by 2
- RingNorm.mk.injstatement and proof · cited by 1
- RingNorm.mk.noConfusionstatement and proof · cited by 1
- AlgebraNorm.smul'statement · cited by 1
- AlgebraNorm.mk.injstatement and proof · cited by 1
- AlgebraNorm.mk.noConfusionstatement and proof · cited by 1
- RingNorm.casesOnstatement and proof · cited by 0
- normRingNorm_toFunstatement and proof · cited by 0
- RingNorm.eq_zero_of_map_eq_zero'statement · cited by 0
- seminormFromBounded_is_norm_iffstatement and proof · cited by 0