Theorems · Theorem · functional analysis
Seminorm.coe_add
Deprecated since 2026-06-22Use FunLike.coe_add instead.
∀ {F : Type u_3} {α : Type u_5} {β : Type u_6} [inst : FunLike F α β] [inst_1 : Add F] [inst_2 : Add β]
[IsAddApply F α β] (f g : F), ⇑(f + g) = ⇑f + ⇑gAlias of FunLike.coe_add.
- Defined in
- Mathlib.Analysis.Seminorm
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext, Quot.sound
- Assumes
- FunLikeAddAddIsAddApply
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement · cited by 2,560
- IsAddApplystatement · cited by 75
- FunLike.coe_addproof · cited by 30
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