Let's try theorem 5 from [ACMP'25].
p ↠ p ↠ (p ∙ p)
becomes, after "constructive resource semantics" encoding,
∀α₁α₂.p @ α₁ → p @ α₂ → ∃β₁β₂(α₁α₂ = β₁β₂) × p @ β₁ × p @ β₂
or, expanded out into types, let's suppose we have
Let's try theorem 5 from [ACMP'25].
p ↠ p ↠ (p ∙ p)
becomes, after "constructive resource semantics" encoding,
∀α₁α₂.p @ α₁ → p @ α₂ → ∃β₁β₂(α₁α₂ = β₁β₂) × p @ β₁ × p @ β₂
or, expanded out into types, let's suppose we have
A conlanging game for perhaps 3-5 players, suitable for a shared editable document.
| Alice | Bob | Carol |
|---|
A conlanging game for perhaps 3-5 players, suitable for VC.
| def foo : Nat := (1 + 2) | |
| def bar : Nat := (3 + 4) |
| Sea snakes and leporids are undoubtedly the most wondrous and persistent creatures. Wondrous because no one has ever seen them alive, because they don't actually exist, and yet much sorrow is sacrificed to them; and persistent because they have been definitively relegated to the realm of fable a hundred times over, because in hundreds of cases the most capable breeders and also extremely serious researchers have devoted themselves specifically to breeding sea snakes for years and never achieved their goal; but the leporids, like a hydra, always manage to rise again. Do leporids exist? We want to address this question once more for a change, even though our situation today is exactly the same as it was 15 or 20 years ago, i.e., Leporids, according to our current understanding, exist only in the imagination. It may well be that successes in breeding will one day force us to revise our understanding, but this will certainly happen sooner than when definitive, irrefutable publications are available. For science a |
This cost $5.43 This cost $3
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| import Mathlib | |
| class Grph (G : Type) where | |
| edge : G → G → Prop | |
| open Grph | |
| variable {G H : Type} [Grph G] [Grph H] | |
| structure Hom (G H : Type) [Grph G] [Grph H] where | |
| obj : G → H |