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