Theorems · Definition · functional analysis
AddGroupSeminorm.toFun
{G : Type u_6} → [inst : AddGroup G] → AddGroupSeminorm G → G → ℝThe bare function of an AddGroupSeminorm.
- Defined in
- Mathlib.Analysis.Normed.Group.Seminorm
- Cited by
- 47 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- AddGroup
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.
- Realstatement · cited by 25,697
- AddGroupstatement and proof · cited by 4,410
- AddGroupSeminormstatement and proof · cited by 50
Cited by90
Results whose statement or proof uses this declaration.
- exists_nonarchimedean_pow_mul_seminorm_of_finiteDimensionalproof · cited by 5
- MulRingNorm.mulRingNormEquivAbsoluteValueproof · cited by 4
- MeasureTheory.measure_le_eq_ltproof · cited by 3
- MeasureTheory.measure_lt_one_eq_integral_div_gammaproof · cited by 3
- RingSeminorm.toRingNormproof · cited by 2
- MulRingSeminorm.map_one'statement · cited by 1
- AddGroupNorm.mk.injstatement and proof · cited by 1
- AddGroupNorm.mk.noConfusionstatement and proof · cited by 1
- RingNorm.mk.injstatement and proof · cited by 1
- RingNorm.mk.noConfusionstatement and proof · cited by 1
- AlgebraNorm.smul'statement · cited by 1
- Seminorm.mk.injstatement and proof · cited by 1