To ISQHom injective
Dimension.toISQHom_injective
Plain-language statement
toISQHom is injective: PhysLib dimensions include faithfully into ISQ.
Exact Lean statement
lemma toISQHom_injective : Function.Injective toISQHom
Formal artifact
Lean source
lemma toISQHom_injective : Function.Injective toISQHom := by intro d1 d2 h have key : ∀ b : ISQDimensionBase, (toISQFun d1).exponent b = (toISQFun d2).exponent b := by intro b have hb := congrArg (fun d => Dimension.exponent d b) h simpa only [toISQHom_apply] using hb ext b cases b with | length => simpa only [toISQFun] using key .length | time => have ht := key .time have hc := key .current simp only [toISQFun] at ht hc linarith | mass => simpa only [toISQFun] using key .mass | charge => simpa only [toISQFun] using key .current | temperature => simpa only [toISQFun] using key .temperature- Project
- Physlib
- License
- Apache-2.0
- Commit
- dd43e9e65791
- Source
- Physlib/Units/ISQBridge.lean:99-115
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