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