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