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.logic.equality.four_chain_transitivity
2	instantiation	6, 5	⊢
	: , : , :
3	instantiation	6, 7	⊢
	: , : , :
4	instantiation	8, 9, 10, 11	⊢
	: , : , :
5	instantiation	12, 11, 14	⊢
	: , :
6	axiom		⊢
	proveit.logic.equality.substitution
7	instantiation	12, 13, 14	⊢
	: , :
8	theorem		⊢
	proveit.numbers.division.frac_cancel_left
9	instantiation	36, 16, 15	⊢
	: , : , :
10	instantiation	36, 16, 17	⊢
	: , : , :
11	instantiation	36, 37, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.commutation
13	instantiation	36, 37, 19	⊢
	: , : , :
14	instantiation	36, 37, 20	⊢
	: , : , :
15	instantiation	36, 21, 26	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
17	instantiation	36, 21, 24	⊢
	: , : , :
18	instantiation	36, 22, 23	⊢
	: , : , :
19	instantiation	36, 25, 24	⊢
	: , : , :
20	instantiation	36, 25, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	36, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
26	instantiation	29, 30	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	36, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
30	instantiation	33, 34, 35	⊢
	:
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
34	instantiation	36, 37, 38	⊢
	: , : , :
35	assumption		⊢
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	instantiation	39, 40	⊢
	:
39	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
40	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int