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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
from proveit.logic import And, TRUE
In [2]:
# build up the expression from sub-expressions
sub_expr1 = And(Q_1_to_m)
expr = ExprTuple(Conditional(a, And(TRUE, sub_expr1)), Conditional(a, sub_expr1))
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 } \top ,  Q_{1} \land  Q_{2} \land  \ldots \land  Q_{m}, a \textrm{ if } Q_{1} \land  Q_{2} \land  \ldots \land  Q_{m}\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: 7
3Operationoperator: 8
operands: 5
4Variable
5ExprTuple6, 7
6Literal
7Operationoperator: 8
operands: 9
8Literal
9ExprTuple10
10ExprRangelambda_map: 11
start_index: 12
end_index: 13
11Lambdaparameter: 17
body: 14
12Literal
13Variable
14IndexedVarvariable: 15
index: 17
15Variable
16ExprTuple17
17Variable