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Expression of type And

from the theory of proveit.logic.equality

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.core_expr_types import P__x_1_to_n, x_1_to_n, y_1_to_n
from proveit.logic import And, Equals
In [2]:
# build up the expression from sub-expressions
expr = And(P__x_1_to_n, Equals([x_1_to_n], [y_1_to_n]))
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())
P\left(x_{1}, x_{2}, \ldots, x_{n}\right) \land \left(\left(x_{1}, x_{2}, \ldots, x_{n}\right) = \left(y_{1}, y_{2}, \ldots, y_{n}\right)\right)
In [5]:
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.()()('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',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple3, 4
3Operationoperator: 5
operands: 8
4Operationoperator: 6
operands: 7
5Variable
6Literal
7ExprTuple8, 9
8ExprTuple10
9ExprTuple11
10ExprRangelambda_map: 12
start_index: 14
end_index: 15
11ExprRangelambda_map: 13
start_index: 14
end_index: 15
12Lambdaparameter: 21
body: 16
13Lambdaparameter: 21
body: 17
14Literal
15Variable
16IndexedVarvariable: 18
index: 21
17IndexedVarvariable: 19
index: 21
18Variable
19Variable
20ExprTuple21
21Variable