| Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/Isabelle/HOL/HOLCF/IOA/ (Isabelle Prover Version 2025-1©) Datei vom 16.11.2025 mit Größe 1 kB |
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Quelle Pred.thySprache: Isabelle |
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(* Title: HOL/HOLCF/IOA/Pred.thy Author: Olaf Müller *) section ‹Logical Connectives lifted to predicates› theory Pred imports Main begin default_sort type type_synonym 'a predicate = "'a → bool" definition satisfies :: "'a → 'a predicate → bool" (‹_ ⊨ _› [100, 9] 8) where "(s ⊨ P) ⟷ P s" definition valid :: "'a predicate → bool" (‹⊨!!! _› [9] 8) where "(⊨!!! P) ⟷ (∀s. (s ⊨ P))" definition Not :: "'a predicate → 'a predicate" (‹\¬ _› [40] 40) where NOT_def: "Not P s ⟷ ¬ P s" definition AND :: "'a predicate → 'a predicate → 'a predicate" (infixr ‹\∧› 35) where "(P \<and> Q) s ⟷ P s ∧ Q s" definition OR :: "'a predicate → 'a predicate → 'a predicate" (infixr ‹\∨› 30) where "(P \<or> Q) s ⟷ P s ∨ Q s" definition IMPLIES :: "'a predicate → 'a predicate → 'a predicate" (infixr ‹\⟶› 25) where "(P \<longrightarrow> Q) s ⟷ P s ⟶ Q s" end
¤ Dauer der Verarbeitung: 0.9 Sekunden (vorverarbeitet am 2026-06-30) ¤*© Formatika GbR, Deutschland |
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2026-07-11