feat: Add units def and basic lemmas

This commit is contained in:
jstoobysmith 2024-10-30 05:37:00 +00:00
parent 34c3643bac
commit a263069bbc
5 changed files with 204 additions and 5 deletions

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@ -519,7 +519,7 @@ lemma pauliCo_contr_pauliContr_expand :
theorem pauliCo_contr_pauliContr :
{pauliCo | ν α β ⊗ pauliContr | ν α' β' = 2 •ₜ εL | α α' ⊗ εR | β β'}ᵀ := by
rw [pauliCo_contr_pauliContr_expand]
rw [perm_tensor_eq <| smul_tensor_eq <| leftMetric_mul_rightMetric_tree]
rw [perm_tensor_eq <| smul_tensor_eq <| leftMetric_prod_rightMetric_tree]
rw [perm_smul]
/- Moving perm through adds. -/
rw [smul_tensor_eq <| perm_add _ _ _]