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, 4	⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_numer_left
2	instantiation	29, 5, 21	⊢
	: , : , :
3	instantiation	29, 7, 6	⊢
	: , : , :
4	instantiation	29, 7, 8	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
6	instantiation	29, 9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
8	instantiation	29, 11, 12	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
10	instantiation	13, 14, 15	⊢
	:
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
12	instantiation	29, 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.nonzero_int_within_rational_nonzero
17	instantiation	29, 23, 24	⊢
	: , : , :
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	29, 25, 26	⊢
	: , : , :
22	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
23	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	29, 27, 28	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	29, 30, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1