• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
    • Apt
    • Acre
    • Milawa
    • Smtlink
    • Aleobft
    • Abnf
      • Deftreeops
      • Defdefparse
      • Defgrammar
      • Abnf-tree-utilities
      • Notation
        • Syntax-abstraction
        • Semantics
          • Tree-terminatedp
          • Tree->string
          • String-has-finite-parse-trees-p
          • Parse-trees-of-string-p
          • Tree-match-element-p
          • Parse-treep
          • Symbol
          • Nat-match-insensitive-char-p
          • String-unambiguousp
          • Tree-match-num-val-p
          • Nats-match-insensitive-chars-p
          • Tree-option
          • String-parsablep
          • Lookup-rulename
          • Nats-match-sensitive-chars-p
          • Numrep-match-repeat-range-p
          • Tree-match-char-val-p
          • Tree-list-match-repetition-p
          • String-ambiguousp
          • Nat-match-sensitive-char-p
          • Parse
          • Tree-match-prose-val-p
          • Theorems-about-terminated-trees-matching-elements
          • Tree-option-result
          • Tree-list-result
          • Tree-list-list-result
          • Tree-result
          • Tree-list-list-match-concatenation-p
          • Languagep
          • Terminal-string-for-rules-p
          • Tree-list-list-match-alternation-p
          • Tree-list-match-element-p
          • Parse!
          • String
          • Tree-set
          • Trees
            • Tree
              • Treep
              • Tree-case
              • Tree-equiv
              • Tree-nonleaf
              • Tree-leafterm
              • Tree-leafrule
              • Tree-kind
              • Tree-fix
              • Tree-fix-when-nonleaf-norulename-nobranches
              • Tree-count
              • True-listp-of-car-of-tree-nonleaf->branches
            • Tree-list
            • Tree-list-list
        • Abstract-syntax
        • Core-rules
        • Concrete-syntax
      • Grammar-parser
      • Meta-circular-validation
      • Parsing-primitives-defresult
      • Parsing-primitives-seq
      • Operations
      • Examples
      • Differences-with-paper
      • Grammar-printer
      • Parsing-tools
    • Vwsim
    • Isar
    • Wp-gen
    • Dimacs-reader
    • Pfcs
    • Legacy-defrstobj
    • Proof-checker-array
    • Soft
    • Farray
    • Rp-rewriter
    • Instant-runoff-voting
    • Imp-language
    • Sidekick
    • Leftist-trees
    • C
    • Java
    • Taspi
    • Bitcoin
    • Des
    • Ethereum
    • X86isa
    • Sha-2
    • Yul
    • Riscv
    • Zcash
    • Proof-checker-itp13
    • Regex
    • ACL2-programming-language
    • Json
    • Jfkr
    • Equational
    • Cryptography
    • Poseidon
    • Where-do-i-place-my-book
    • Bigmems
    • Builtins
    • Axe
    • Execloader
    • Solidity
    • Leo
    • Paco
    • Concurrent-programs
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
  • Math
  • Testing-utilities

• Tree

Treep

Recognizer for tree structures.

Signature

(treep x) → *

Definitions and Theorems

Theorem: consp-when-treep

(defthm consp-when-treep
  (implies (treep x) (consp x))
  :rule-classes :compound-recognizer)