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.numbers.multiplication.mult_real_closure_bin
2	instantiation	34, 5, 4	⊢
	: , : , :
3	instantiation	34, 5, 6	⊢
	: , : , :
4	instantiation	34, 15, 7	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
6	instantiation	8, 9, 10	⊢
	: , :
7	instantiation	34, 11, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.add_rational_closure_bin
9	instantiation	34, 13, 14	⊢
	: , : , :
10	instantiation	34, 15, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
13	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
14	instantiation	17, 18, 19	⊢
	: , :
15	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
16	instantiation	34, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
18	instantiation	34, 22, 23	⊢
	: , : , :
19	instantiation	24, 25, 26	⊢
	: , :
20	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
21	instantiation	27, 28	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
23	instantiation	34, 29, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
25	instantiation	34, 35, 31	⊢
	: , : , :
26	instantiation	32, 33	⊢
	:
27	theorem		⊢
	proveit.numbers.negation.int_neg_closure
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
31	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
32	theorem		⊢
	proveit.numbers.negation.int_closure
33	instantiation	34, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
36	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos