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	⊢
	: , :
1	reference	4	⊢
2	instantiation	4, 5, 6	⊢
	: , :
3	instantiation	36, 8, 23	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
5	instantiation	36, 8, 7	⊢
	: , : , :
6	instantiation	36, 8, 9	⊢
	: , : , :
7	instantiation	36, 32, 10	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
9	instantiation	11, 12, 30	⊢
	: , :
10	instantiation	36, 34, 13	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
12	instantiation	36, 14, 15	⊢
	: , : , :
13	instantiation	36, 37, 16	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
15	instantiation	17, 18, 19	⊢
	: , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
17	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
18	instantiation	36, 20, 21	⊢
	: , : , :
19	instantiation	22, 23, 24	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
21	instantiation	36, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
23	instantiation	27, 29, 30, 31	⊢
	: , : , :
24	instantiation	28, 29, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
30	instantiation	36, 32, 33	⊢
	: , : , :
31	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	36, 34, 35	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	36, 37, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1