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, 3, 4	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.posnat_power_of_product
2	instantiation	29, 5, 18	⊢
	: , : , :
3	instantiation	29, 5, 6	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
5	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
6	instantiation	7, 8, 9	⊢
	: , :
7	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
8	instantiation	29, 25, 10	⊢
	: , : , :
9	instantiation	11, 23, 18, 12	⊢
	: , :
10	instantiation	29, 27, 13	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.division.div_real_closure
12	instantiation	14, 15	⊢
	: , :
13	instantiation	29, 30, 16	⊢
	: , : , :
14	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
15	instantiation	17, 22, 18, 19	⊢
	: , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
17	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
18	instantiation	20, 22, 23, 24	⊢
	: , : , :
19	instantiation	21, 22, 23, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
23	instantiation	29, 25, 26	⊢
	: , : , :
24	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	29, 27, 28	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	29, 30, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1