Theorems · Theorem · functional analysis
InnerProductSpace.gramSchmidt_bot
∀ (𝕜 : Type u_1) {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
{ι : Type u_4} [inst_3 : LinearOrder ι] [inst_4 : LocallyFiniteOrder ι] [inst_5 : OrderBot ι]
[inst_6 : WellFoundedLT ι] (f : ι → E), InnerProductSpace.gramSchmidt 𝕜 f ⊥ = f ⊥- Cited by
- 0 results in Mathlib
- Foundations
- Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- NormedAddCommGroupstatement and proof · cited by 15,752
- Finsetproof · cited by 13,712
- LinearOrderstatement and proof · cited by 8,572
- Finset.sumproof · cited by 5,195
- Bot.botstatement and proof · cited by 4,720
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- Submodule.spanproof · cited by 1,504
- OrderBotstatement and proof · cited by 1,055
- sub_zeroproof · cited by 938
- LocallyFiniteOrderstatement and proof · cited by 658
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