Theorems · Theorem · functional analysis
Continuous.inner_
∀ {𝕜 : Type u_1} [inst : RCLike 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace 𝕜 E]
{f g : ℝ → E}, Continuous f → Continuous g → Continuous fun x => inner_✝ 𝕜 (f x) (g x)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- RCLikestatement and proof · cited by 2,829
- Continuousstatement and proof · cited by 2,592
- Continuous.comp'proof · cited by 184
- Continuous.prodMkproof · cited by 127
- RCLike.Iproof · cited by 100
- Continuous.fun_subproof · cited by 53
- continuous_addproof · cited by 47
- continuous_const_mulproof · cited by 47
- Continuous.normproof · cited by 45
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