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.
# import Expression classes needed to build the expression
from proveit import ExprRange, ExprTuple, Lambda, Variable, a, b
from proveit.core_expr_types import Len
from proveit.logic import Equals
from proveit.numbers import one, two

In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = [a, b]
expr = ExprTuple(Lambda(sub_expr2, Equals(Len(operands = sub_expr2), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, 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(\left(a, b\right) \mapsto \left(|\left(a, b\right)| = |\left(1, \ldots, 2\right)|\right)\right)

In [5]:
stored_expr.style_options()

no style options
In [6]:
# display the expression information
stored_expr.expr_info()

core typesub-expressionsexpression
0ExprTuple1
1Lambdaparameters: 7
body: 2
2Operationoperator: 3
operands: 4
3Literal
4ExprTuple5, 6
5Operationoperator: 8
operands: 7
6Operationoperator: 8
operands: 9
7ExprTuple10, 11
8Literal
9ExprTuple12
10Variable
11Variable
12ExprRangelambda_map: 13
start_index: 14
end_index: 15
13Lambdaparameter: 17
body: 17
14Literal
15Literal
16ExprTuple17
17Variable