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Theorems · Theorem · functional analysis

AddGroupSeminorm.comp_add_le

∀ {E : Type u_3} {F : Type u_4} [inst : AddCommGroup E] [inst_1 : AddCommGroup F] (p : AddGroupSeminorm E)
  (f g : F →+ E), p.comp (f + g) ≤ p.comp f + p.comp g
Defined in
Mathlib.Analysis.Normed.Group.Seminorm
Cited by
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Foundations
Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommGroupAddCommGroup
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DFunLike.coe · cited by 62936DFunLike.coeAddCommGroup · cited by 12871AddCommGroupAddMonoidHom · cited by 3230AddMonoidHomAddGroupSeminorm · cited by 50AddGroupSeminormSubadditiveHomClass.map_add_le_add · cited by 11SubadditiveHomClass.map_a…AddGroupSeminorm.comp · cited by 9AddGroupSeminorm.compAddGroupSeminorm.comp_add_leCITED BYCITES

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