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_left
2	instantiation	3, 4, 5, 6	⊢
	: , :
3	theorem		⊢
	proveit.numbers.division.div_complex_closure
4	instantiation	7, 8, 9	⊢
	: , :
5	instantiation	32, 33, 10	⊢
	: , : , :
6	instantiation	11, 12	⊢
	:
7	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
8	instantiation	32, 33, 13	⊢
	: , : , :
9	instantiation	32, 33, 14	⊢
	: , : , :
10	instantiation	32, 19, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
12	instantiation	32, 15, 16	⊢
	: , : , :
13	instantiation	32, 17, 18	⊢
	: , : , :
14	instantiation	32, 19, 22	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
16	instantiation	20, 21, 22	⊢
	: , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	32, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
20	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
22	instantiation	25, 26	⊢
	:
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	32, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
26	instantiation	29, 30, 31	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
30	instantiation	32, 33, 34	⊢
	: , : , :
31	assumption		⊢
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	instantiation	35, 36	⊢
	:
35	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
36	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int