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.number_sets.real_numbers.positive_if_in_real_pos
2	instantiation	3, 4, 5	⊢
	:
3	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
4	instantiation	6, 7, 31	⊢
	: , :
5	instantiation	8, 9	⊢
	:
6	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
7	instantiation	37, 10, 14	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
9	instantiation	37, 11, 12	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
12	instantiation	13, 14, 15	⊢
	: , :
13	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
14	instantiation	16, 17, 18	⊢
	: , :
15	instantiation	37, 20, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
17	instantiation	37, 20, 21	⊢
	: , : , :
18	instantiation	22, 23, 24	⊢
	:
19	instantiation	37, 26, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
21	instantiation	37, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
23	instantiation	28, 30, 31, 32	⊢
	: , : , :
24	instantiation	29, 30, 31, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
31	instantiation	37, 33, 34	⊢
	: , : , :
32	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	37, 35, 36	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	37, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1