litex-lang 0.9.65-beta

A simple formal proof language and verifier, learnable in 2 hours
Documentation 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139

use crate::prelude::*;
use std::fmt;

#[derive(Clone)]
pub enum ExistOrAndChainAtomicFact {
    AtomicFact(AtomicFact),
    AndFact(AndFact),
    ChainFact(ChainFact),
    OrFact(OrFact),
    ExistFact(ExistFact),
}

impl fmt::Display for ExistOrAndChainAtomicFact {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        match self {
            ExistOrAndChainAtomicFact::AtomicFact(atomic_fact) => write!(f, "{}", atomic_fact),
            ExistOrAndChainAtomicFact::AndFact(and_fact) => write!(f, "{}", and_fact),
            ExistOrAndChainAtomicFact::ChainFact(chain_fact) => write!(f, "{}", chain_fact),
            ExistOrAndChainAtomicFact::OrFact(or_fact) => write!(f, "{}", or_fact),
            ExistOrAndChainAtomicFact::ExistFact(exist_fact) => write!(f, "{}", exist_fact),
        }
    }
}

impl ExistOrAndChainAtomicFact {
    pub fn to_fact(self) -> Fact {
        match self {
            ExistOrAndChainAtomicFact::AtomicFact(atomic_fact) => Fact::AtomicFact(atomic_fact),
            ExistOrAndChainAtomicFact::AndFact(and_fact) => Fact::AndFact(and_fact),
            ExistOrAndChainAtomicFact::ChainFact(chain_fact) => Fact::ChainFact(chain_fact),
            ExistOrAndChainAtomicFact::OrFact(or_fact) => Fact::OrFact(or_fact),
            ExistOrAndChainAtomicFact::ExistFact(exist_fact) => Fact::ExistFact(exist_fact),
        }
    }

    pub fn line_file(&self) -> LineFile {
        match self {
            ExistOrAndChainAtomicFact::AtomicFact(atomic_fact) => atomic_fact.line_file(),
            ExistOrAndChainAtomicFact::AndFact(and_fact) => and_fact.line_file(),
            ExistOrAndChainAtomicFact::ChainFact(chain_fact) => chain_fact.line_file(),
            ExistOrAndChainAtomicFact::OrFact(or_fact) => or_fact.line_file.clone(),
            ExistOrAndChainAtomicFact::ExistFact(exist_fact) => exist_fact.line_file(),
        }
    }

    pub fn with_new_line_file(self, line_file: LineFile) -> Self {
        match self {
            ExistOrAndChainAtomicFact::AtomicFact(a) => {
                ExistOrAndChainAtomicFact::AtomicFact(a.with_new_line_file(line_file))
            }
            ExistOrAndChainAtomicFact::AndFact(af) => {
                ExistOrAndChainAtomicFact::AndFact(AndFact::new(
                    af.facts
                        .into_iter()
                        .map(|x| x.with_new_line_file(line_file.clone()))
                        .collect(),
                    line_file,
                ))
            }
            ExistOrAndChainAtomicFact::ChainFact(cf) => ExistOrAndChainAtomicFact::ChainFact(
                ChainFact::new(cf.objs, cf.prop_names, line_file),
            ),
            ExistOrAndChainAtomicFact::OrFact(of) => {
                ExistOrAndChainAtomicFact::OrFact(OrFact::new(
                    of.facts
                        .into_iter()
                        .map(|x| x.with_new_line_file(line_file.clone()))
                        .collect(),
                    line_file,
                ))
            }
            ExistOrAndChainAtomicFact::ExistFact(e) => {
                ExistOrAndChainAtomicFact::ExistFact(ExistFact::new(
                    e.params_def_with_type,
                    e.facts
                        .into_iter()
                        .map(|x| x.with_new_line_file(line_file.clone()))
                        .collect(),
                    e.is_exist_unique,
                    line_file,
                ))
            }
        }
    }
}

impl From<AtomicFact> for ExistOrAndChainAtomicFact {
    fn from(atomic_fact: AtomicFact) -> Self {
        ExistOrAndChainAtomicFact::AtomicFact(atomic_fact)
    }
}

impl From<GreaterEqualFact> for ExistOrAndChainAtomicFact {
    fn from(f: GreaterEqualFact) -> Self {
        AtomicFact::from(f).into()
    }
}

impl From<IsNonemptySetFact> for ExistOrAndChainAtomicFact {
    fn from(f: IsNonemptySetFact) -> Self {
        AtomicFact::from(f).into()
    }
}

impl From<EqualFact> for ExistOrAndChainAtomicFact {
    fn from(f: EqualFact) -> Self {
        AtomicFact::from(f).into()
    }
}

impl From<InFact> for ExistOrAndChainAtomicFact {
    fn from(f: InFact) -> Self {
        ExistOrAndChainAtomicFact::AtomicFact(f.into())
    }
}

impl From<ExistFact> for ExistOrAndChainAtomicFact {
    fn from(exist_fact: ExistFact) -> Self {
        ExistOrAndChainAtomicFact::ExistFact(exist_fact)
    }
}

impl From<AndFact> for ExistOrAndChainAtomicFact {
    fn from(a: AndFact) -> Self {
        ExistOrAndChainAtomicFact::AndFact(a)
    }
}

impl From<ChainFact> for ExistOrAndChainAtomicFact {
    fn from(c: ChainFact) -> Self {
        ExistOrAndChainAtomicFact::ChainFact(c)
    }
}

impl From<OrFact> for ExistOrAndChainAtomicFact {
    fn from(o: OrFact) -> Self {
        ExistOrAndChainAtomicFact::OrFact(o)
    }
}