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Perm.subtypeCongr.symm
rfl
1 parent 952587c commit a196130Copy full SHA for a196130
Mathlib/Logic/Equiv/Basic.lean
@@ -84,13 +84,8 @@ theorem Perm.subtypeCongr.refl :
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by_cases h : p x <;> simp [h]
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@[simp]
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-theorem Perm.subtypeCongr.symm : (ep.subtypeCongr en).symm = Perm.subtypeCongr ep.symm en.symm := by
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- ext x
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- by_cases h : p x
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- · have : p (ep.symm ⟨x, h⟩) := Subtype.property _
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- simp [h, symm_apply_eq, this]
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- · have : ¬p (en.symm ⟨x, h⟩) := Subtype.property (en.symm _)
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+theorem Perm.subtypeCongr.symm : (ep.subtypeCongr en).symm = Perm.subtypeCongr ep.symm en.symm :=
+ rfl
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theorem Perm.subtypeCongr.trans :
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