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Expression of type ExprTuple

from the theory of proveit.numbers.absolute_value

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 ExprTuple, IndexedVar, Lambda, Variable, a, b, c, x
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
sub_expr2 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Lambda(sub_expr1, a), Lambda(sub_expr1, b), Lambda(sub_expr2, IndexedVar(x, sub_expr2)), Lambda(sub_expr1, c))
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({_{-}b} \mapsto a, {_{-}b} \mapsto b, {_{-}a} \mapsto x_{{_{-}a}}, {_{-}b} \mapsto c\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, 4
1Lambdaparameter: 12
body: 5
2Lambdaparameter: 12
body: 6
3Lambdaparameter: 13
body: 7
4Lambdaparameter: 12
body: 9
5Variable
6Variable
7IndexedVarvariable: 10
index: 13
8ExprTuple12
9Variable
10Variable
11ExprTuple13
12Variable
13Variable