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Expression of type ExprTuple

from the theory of proveit.core_expr_types.tuples

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 ExprRange, ExprTuple, IndexedVar, Variable, a, n, x, y
from proveit.logic import Equals
from proveit.numbers import one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = IndexedVar(x, sub_expr1)
expr = ExprTuple(Equals(a, a), Equals(y, y), ExprRange(sub_expr1, Equals(sub_expr2, sub_expr2), one, 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 = a, y = y,\left(x_{1} = x_{1}\right), \left(x_{2} = x_{2}\right), \ldots, \left(x_{n} = x_{n}\right)\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, 3
1Operationoperator: 12
operands: 4
2Operationoperator: 12
operands: 5
3ExprRangelambda_map: 6
start_index: 7
end_index: 8
4ExprTuple9, 9
5ExprTuple10, 10
6Lambdaparameter: 17
body: 11
7Literal
8Variable
9Variable
10Variable
11Operationoperator: 12
operands: 13
12Literal
13ExprTuple14, 14
14IndexedVarvariable: 15
index: 17
15Variable
16ExprTuple17
17Variable