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Expression of type ExprArray

from the theory of proveit.core_expr_types.expr_arrays

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 A, B, C, D, E, ExprArray, ExprRange, F, IndexedVar, Variable, i, j
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprArray([ExprRange(sub_expr1, IndexedVar(B, sub_expr1), i, j), A, B, C], [D, E, F, ExprRange(sub_expr1, IndexedVar(D, sub_expr1), i, j)])
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())
ExprArray\left(\begin{array}{c} \left(B_{i}, B_{i + 1}, \ldots, B_{j}, A, B, C\right),  \\ \left(D, E, F,D_{i}, D_{i + 1}, \ldots, D_{j}\right) \end{array}\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
justificationjustify to the 'left', 'center', or 'right' in the array cellscentercenterwith_justification
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1ExprTuple3, 4, 15, 5
2ExprTuple16, 6, 7, 8
3ExprRangelambda_map: 9
start_index: 11
end_index: 12
4Variable
5Variable
6Variable
7Variable
8ExprRangelambda_map: 10
start_index: 11
end_index: 12
9Lambdaparameter: 18
body: 13
10Lambdaparameter: 18
body: 14
11Variable
12Variable
13IndexedVarvariable: 15
index: 18
14IndexedVarvariable: 16
index: 18
15Variable
16Variable
17ExprTuple18
18Variable