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.logic.equality.sub_right_side_into
2	instantiation	4, 5, 6, 7	⊢
	: , : , : , : , :
3	instantiation	19, 8, 9	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_numer_left
5	instantiation	46, 36, 40	⊢
	: , : , :
6	instantiation	46, 11, 10	⊢
	: , : , :
7	instantiation	46, 11, 12	⊢
	: , : , :
8	instantiation	27, 13	⊢
	: , : , :
9	instantiation	27, 14	⊢
	: , : , :
10	instantiation	46, 15, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
12	instantiation	46, 17, 18	⊢
	: , : , :
13	instantiation	19, 20, 21	⊢
	: , : , :
14	instantiation	27, 22	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
16	instantiation	23, 37, 24	⊢
	:
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
18	instantiation	46, 25, 26	⊢
	: , : , :
19	axiom		⊢
	proveit.logic.equality.equals_transitivity
20	instantiation	27, 28	⊢
	: , : , :
21	instantiation	29, 35	⊢
	:
22	instantiation	30, 35	⊢
	:
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
24	instantiation	31, 39, 40, 41	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
26	instantiation	46, 32, 33	⊢
	: , : , :
27	axiom		⊢
	proveit.logic.equality.substitution
28	instantiation	34, 35	⊢
	:
29	theorem		⊢
	proveit.numbers.division.frac_one_denom
30	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
34	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
35	instantiation	46, 36, 37	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	38, 39, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
40	instantiation	46, 42, 43	⊢
	: , : , :
41	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	46, 44, 45	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
45	instantiation	46, 47, 48	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat1