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