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Expression of type ExprTuple

from the theory of proveit.core_expr_types.conditionals

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, ExprTuple, a
from proveit.core_expr_types import Q_1_to_m, R_1_to_n
from proveit.logic import And, TRUE
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Conditional(a, And(Q_1_to_m, TRUE, R_1_to_n)), Conditional(a, And(Q_1_to_m, R_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 \textrm{ if } Q_{1} ,  Q_{2} ,  \ldots ,  Q_{m} ,  \top, R_{1} ,  R_{2} ,  \ldots ,  R_{n}, a \textrm{ if } Q_{1} ,  Q_{2} ,  \ldots ,  Q_{m}, R_{1} ,  R_{2} ,  \ldots ,  R_{n}\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Conditionalvalue: 4
condition: 3
2Conditionalvalue: 4
condition: 5
3Operationoperator: 7
operands: 6
4Variable
5Operationoperator: 7
operands: 8
6ExprTuple10, 9, 11
7Literal
8ExprTuple10, 11
9Literal
10ExprRangelambda_map: 12
start_index: 15
end_index: 13
11ExprRangelambda_map: 14
start_index: 15
end_index: 16
12Lambdaparameter: 22
body: 17
13Variable
14Lambdaparameter: 22
body: 18
15Literal
16Variable
17IndexedVarvariable: 19
index: 22
18IndexedVarvariable: 20
index: 22
19Variable
20Variable
21ExprTuple22
22Variable