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refactor: Replace simp proofs

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jstoobysmith 2024-08-30 13:40:32 -04:00
parent cd04e13ced
commit 064a5ebbfe
23 changed files with 110 additions and 148 deletions
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HepLean/StandardModel/HiggsBoson/GaugeAction.lean
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@ -59,7 +59,7 @@ lemma matrixToLin_unitary (g : unitaryGroup (Fin 2) ℂ) :
matrixToLin g ∈ unitary (HiggsVec →L[ℂ] HiggsVec) := by
rw [@unitary.mem_iff, ← matrixToLin_star, ← matrixToLin.map_mul, ← matrixToLin.map_mul,
mem_unitaryGroup_iff.mp g.prop, mem_unitaryGroup_iff'.mp g.prop, matrixToLin.map_one]
simp
exact Prod.mk_eq_one.mp rfl
/-- The natural homomorphism from unitary `2×2` complex matrices to unitary transformations
of `higgsVec`. -/