16 lines
466 B
Lean4
16 lines
466 B
Lean4
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/-
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Port of `Analysis/Utils.agda`. The `≼ᴼ-trans` module parameter lifts into the
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`Preorder` instance.
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-/
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import Spa.Lattice
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namespace Spa
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/-- Agda: `eval-combine₂`. -/
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theorem eval_combine₂ {O : Type*} [Preorder O] {combine : O → O → O}
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(hmono : Monotone₂ combine) {o₁ o₂ o₃ o₄ : O}
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(h₁ : o₁ ≤ o₃) (h₂ : o₂ ≤ o₄) : combine o₁ o₂ ≤ combine o₃ o₄ :=
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le_trans (hmono.1 o₂ h₁) (hmono.2 o₃ h₂)
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end Spa
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