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Expression of type Conditional

from the theory of proveit.logic.booleans.disjunction

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import Conditional
from proveit.core_expr_types import A_1_to_l, B_1_to_m, C_1_to_n
from proveit.logic import Or
In [2]:
# build up the expression from sub-expressions
expr = Conditional(Or(A_1_to_l, Or(B_1_to_m), C_1_to_n), Or(A_1_to_l, B_1_to_m, C_1_to_n))
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left\{A_{1} \lor  A_{2} \lor  \ldots \lor  A_{l} \lor \left(B_{1} \lor  B_{2} \lor  \ldots \lor  B_{m}\right)\lor C_{1} \lor  C_{2} \lor  \ldots \lor  C_{n} \textrm{ if } A_{1} \lor  A_{2} \lor  \ldots \lor  A_{l}\lor B_{1} \lor  B_{2} \lor  \ldots \lor  B_{m}\lor C_{1} \lor  C_{2} \lor  \ldots \lor  C_{n}\right..
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
condition_delimiter'comma' or 'and'commacomma('with_comma_delimiter', 'with_conjunction_delimiter')
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Conditionalvalue: 1
condition: 2
1Operationoperator: 8
operands: 3
2Operationoperator: 8
operands: 4
3ExprTuple6, 5, 7
4ExprTuple6, 14, 7
5Operationoperator: 8
operands: 9
6ExprRangelambda_map: 10
start_index: 18
end_index: 11
7ExprRangelambda_map: 12
start_index: 18
end_index: 13
8Literal
9ExprTuple14
10Lambdaparameter: 25
body: 15
11Variable
12Lambdaparameter: 25
body: 16
13Variable
14ExprRangelambda_map: 17
start_index: 18
end_index: 19
15IndexedVarvariable: 20
index: 25
16IndexedVarvariable: 21
index: 25
17Lambdaparameter: 25
body: 22
18Literal
19Variable
20Variable
21Variable
22IndexedVarvariable: 23
index: 25
23Variable
24ExprTuple25
25Variable