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Expression of type ExprTuple

from the theory of proveit.core_expr_types.lambda_maps

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
from proveit.core_expr_types import b_1_to_i, c_1_to_i, f__b_1_to_i, g__c_1_to_i
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda([b_1_to_i], f__b_1_to_i), Lambda([c_1_to_i], g__c_1_to_i))
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(b_{1}, b_{2}, \ldots, b_{i}\right) \mapsto f\left(b_{1}, b_{2}, \ldots, b_{i}\right), \left(c_{1}, c_{2}, \ldots, c_{i}\right) \mapsto g\left(c_{1}, c_{2}, \ldots, c_{i}\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
1Lambdaparameters: 6
body: 3
2Lambdaparameters: 8
body: 4
3Operationoperator: 5
operands: 6
4Operationoperator: 7
operands: 8
5Variable
6ExprTuple9
7Variable
8ExprTuple10
9ExprRangelambda_map: 11
start_index: 13
end_index: 14
10ExprRangelambda_map: 12
start_index: 13
end_index: 14
11Lambdaparameter: 20
body: 15
12Lambdaparameter: 20
body: 16
13Literal
14Variable
15IndexedVarvariable: 17
index: 20
16IndexedVarvariable: 18
index: 20
17Variable
18Variable
19ExprTuple20
20Variable