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[Merged by Bors] - fix(RepresentationTheory): move Equiv.coe_invFun to the correct symm notion to fit the statement as it suggests #43047

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[Merged by Bors] - fix(RepresentationTheory): move Equiv.coe_invFun to the correct symm notion to fit the statement as it suggests #43047

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4 changes: 2 additions & 2 deletions Mathlib/RepresentationTheory/Intertwining.lean
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Expand Up @@ -382,8 +382,6 @@ def refl : Equiv ρ ρ where

@[simp] lemma coe_toLinearMap : ⇑φ.toLinearMap = φ := rfl

lemma coe_invFun : φ.invFun = φ.symm := rfl

theorem toLinearEquiv_toLinearMap :
φ.toLinearEquiv.toLinearMap = φ.toIntertwiningMap.toLinearMap := rfl

Expand Down Expand Up @@ -411,6 +409,8 @@ lemma mk_symm {e : V ≃ₗ[A] W} (he : ∀ g, e ∘ₗ (ρ g) = (σ g) ∘ₗ e

lemma toLinearMap_symm (φ : Equiv ρ σ) : (symm φ).toLinearMap = φ.toLinearEquiv.symm := rfl

lemma coe_invFun : φ.invFun = φ.symm := rfl

lemma coe_symm (φ : Equiv ρ σ) : ⇑φ.toLinearEquiv.symm = φ.symm := rfl

variable {τ}
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