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Expression of type ExprTuple

from the theory of proveit.numbers.numerals.decimals

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, Lambda, Variable
from proveit.numbers import eight, five, four, nine, seven, six, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
sub_expr2 = Lambda(sub_expr1, seven)
expr = ExprTuple(Lambda(sub_expr1, three), Lambda(sub_expr1, eight), Lambda(sub_expr1, six), sub_expr2, Lambda(sub_expr1, four), Lambda(Variable("_a", latex_format = r"{_{-}a}"), nine), Lambda(sub_expr1, five), sub_expr2, Lambda(sub_expr1, two))
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 3, {_{-}b} \mapsto 8, {_{-}b} \mapsto 6, {_{-}b} \mapsto 7, {_{-}b} \mapsto 4, {_{-}a} \mapsto 9, {_{-}b} \mapsto 5, {_{-}b} \mapsto 7, {_{-}b} \mapsto 2\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, 7, 4, 5, 6, 7, 8
1Lambdaparameter: 20
body: 9
2Lambdaparameter: 20
body: 10
3Lambdaparameter: 20
body: 11
4Lambdaparameter: 20
body: 12
5Lambdaparameter: 19
body: 14
6Lambdaparameter: 20
body: 15
7Lambdaparameter: 20
body: 16
8Lambdaparameter: 20
body: 18
9Literal
10Literal
11Literal
12Literal
13ExprTuple19
14Literal
15Literal
16Literal
17ExprTuple20
18Literal
19Variable
20Variable