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Theorems · Theorem · functional analysis

AddGroupSeminormClass.toSeminormedAddGroup.congr_simp

∀ {F : Type u_1} {α : Type u_2} [inst : FunLike F α ℝ] [inst_1 : AddGroup α] [inst_2 : AddGroupSeminormClass F α ℝ]
  (f f_1 : F), f = f_1 → AddGroupSeminormClass.toSeminormedAddGroup f = AddGroupSeminormClass.toSeminormedAddGroup f_1
Defined in
Mathlib.Analysis.Normed.Order.Hom.Ultra
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Foundations
Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FunLikeAddGroupAddGroupSeminormClass
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Real · cited by 25697RealAddGroup · cited by 4410AddGroupFunLike · cited by 2560FunLikeSeminormedAddGroup · cited by 331SeminormedAddGroupAddGroupSeminormClass · cited by 18AddGroupSeminormClassAddGroupSeminormClass.toSeminormedAddGroup · cited by 3AddGroupSeminormClass.toS…toSeminormedAddGroup.congr_si…CITED BYCITES

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