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Common merge_series_equiv of type Equals

from the theory of proveit.core_expr_types

In [1]:
import proveit
# Automation is not needed when only 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 the special expression
from proveit.core_expr_types import merge_series_equiv
In [2]:
# check that the built expression is the same as the stored expression
assert merge_series_equiv == stored_expr
assert merge_series_equiv._style_id == stored_expr._style_id
print("Passed sanity check: merge_series_equiv matches stored_expr")
Passed sanity check: merge_series_equiv matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\begin{array}{c} \begin{array}{l} \left(x_{0}, x_{1}, \ldots, x_{j - i}\right) =  \\ \left(f\left(i\right), f\left(i + 1\right), \ldots, f\left(j\right)\right) \end{array} \end{array}
In [4]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
wrap_positionsposition(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.()(2)('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'centercenter('with_justification',)
directionDirection of the relation (normal or reversed)normalnormal('with_direction_reversed', 'is_reversed')
In [5]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple3, 4
3ExprTuple5
4ExprTuple6
5ExprRangelambda_map: 7
start_index: 8
end_index: 9
6ExprRangelambda_map: 10
start_index: 23
end_index: 16
7Lambdaparameter: 22
body: 11
8Literal
9Operationoperator: 12
operands: 13
10Lambdaparameter: 22
body: 14
11IndexedVarvariable: 15
index: 22
12Literal
13ExprTuple16, 17
14Operationoperator: 18
operand: 22
15Variable
16Variable
17Operationoperator: 20
operand: 23
18Variable
19ExprTuple22
20Literal
21ExprTuple23
22Variable
23Variable