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, 5, 6, 7	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	8	⊢
	: , :
6	instantiation	39, 10, 9	⊢
	: , : , :
7	instantiation	39, 10, 11	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9	instantiation	39, 13, 12	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
11	instantiation	39, 13, 14	⊢
	: , : , :
12	instantiation	39, 15, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
14	instantiation	39, 17, 18	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
16	instantiation	39, 19, 20	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
18	instantiation	21, 22, 23	⊢
	: , :
19	instantiation	24, 25, 36	⊢
	: , :
20	assumption		⊢
21	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
22	instantiation	39, 26, 27	⊢
	: , : , :
23	instantiation	35, 28	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
25	instantiation	29, 30, 31	⊢
	: , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
27	instantiation	39, 32, 33	⊢
	: , : , :
28	instantiation	39, 40, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
30	instantiation	35, 36	⊢
	:
31	instantiation	39, 37, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
34	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
35	theorem		⊢
	proveit.numbers.negation.int_closure
36	instantiation	39, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
41	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos