Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2	⊢
	:
1	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
2	instantiation	27, 3, 4	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
4	instantiation	5, 6, 7	⊢
	: , :
5	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
6	instantiation	27, 23, 8	⊢
	: , : , :
7	instantiation	9, 21, 16, 10	⊢
	: , :
8	instantiation	27, 25, 11	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.division.div_real_closure
10	instantiation	12, 13	⊢
	: , :
11	instantiation	27, 28, 14	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
13	instantiation	15, 20, 16, 17	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
15	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
16	instantiation	18, 20, 21, 22	⊢
	: , : , :
17	instantiation	19, 20, 21, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
21	instantiation	27, 23, 24	⊢
	: , : , :
22	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	27, 25, 26	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	27, 28, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1