rocq-community / rocq-community/math-classes
Fix inner product space laws
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- Dominant language
- Rocq Prover
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- 169
- Forks
- 42
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Description
One needs the additional axioms, see #15.
; in_pos_def1 :> ∀ v, PropHolds (0 ≤ ⟨v,v⟩)
; in_pos_def2 :> ∀ v, 0 = ⟨v,v⟩ <-> v = mon_unit
; inprod_proper :> Proper ((=) ==> (=) ==> (=)) (⟨⟩)
Contributor guide
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First steps
- Read the whole issue, then the project's contributing guide.
- Comment on the issue to say you are picking it up — it saves two people doing the same work.
- Fork the repository and make your change on a branch.
- Open a pull request that references the issue number.
Research direction
Start by reading issue #15 for the missing inner product space laws, then locate the inner product space interface containing the shown Coq declarations. Confirm how the three proposed axioms fit the existing structure and ensure the interface includes the required laws.
Written by the indexing model from the issue text.
Assessment
- Domain
- tooling
- Issue type
- Bug
- Difficulty
- 4/5
- Estimated time
- 3-5 days
- Activity status
- Stale
- Clarity
- Mostly clear
- Newbie friendliness
- 35/100