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Merge pull request #42 from gl3nnleblanc/main
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Two more implications from equation 5
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teorth authored Sep 28, 2024
2 parents 6566506 + 96949da commit 749679b
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6 changes: 6 additions & 0 deletions equational_theories/Subgraph.lean
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Expand Up @@ -91,9 +91,15 @@ theorem Equation4_implies_Equation4522 (G: Type*) [Magma G] (h: Equation4 G) : E
theorem Equation5_implies_Equation3 (G: Type*) [Magma G] (h: Equation5 G) : Equation3 G :=
fun _ ↦ h _ _

theorem Equation5_implies_Equation8 (G: Type*) [Magma G] (h: Equation5 G) : Equation8 G :=
fun _ ↦ by repeat rw [← h]

theorem Equation5_implies_Equation39 (G: Type*) [Magma G] (h: Equation5 G) : Equation39 G :=
fun _ _ ↦ by repeat rw [← h]

theorem Equation5_implies_Equation4512 (G: Type*) [Magma G] (h: Equation5 G) : Equation4512 G :=
fun _ _ _ ↦ by repeat rw [← h]

theorem Equation6_implies_Equation2 (G: Type*) [Magma G] (h: Equation6 G) : Equation2 G :=
fun a _ ↦ by rw [h a a, ← h]

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