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.exp_not_eq_zero
2	instantiation	46, 6, 5	⊢
	: , : , :
3	instantiation	46, 6, 10	⊢
	: , : , :
4	instantiation	7, 8	⊢
	:
5	instantiation	9, 10, 11	⊢
	: , :
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
8	instantiation	46, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
10	instantiation	46, 42, 14	⊢
	: , : , :
11	instantiation	15, 40, 35, 24	⊢
	: , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
13	instantiation	16, 17, 18	⊢
	: , :
14	instantiation	46, 44, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.division.div_real_closure
16	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
17	instantiation	46, 27, 20	⊢
	: , : , :
18	instantiation	21, 22, 23, 24	⊢
	: , :
19	instantiation	46, 47, 25	⊢
	: , : , :
20	instantiation	46, 32, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
22	instantiation	46, 27, 28	⊢
	: , : , :
23	instantiation	29, 35, 36	⊢
	:
24	instantiation	30, 31	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
28	instantiation	46, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
30	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
31	instantiation	34, 39, 35, 36	⊢
	: , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
34	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
35	instantiation	37, 39, 40, 41	⊢
	: , : , :
36	instantiation	38, 39, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
40	instantiation	46, 42, 43	⊢
	: , : , :
41	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	46, 44, 45	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
45	instantiation	46, 47, 48	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat1