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, 8, 9	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	reference	33	⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	reference	13	⊢
8	instantiation	34, 15, 11	⊢
	: , : , :
9	instantiation	12, 13	⊢
	:
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	34, 18, 14	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.negation.complex_closure
13	instantiation	34, 15, 16	⊢
	: , : , :
14	instantiation	34, 22, 17	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	34, 18, 19	⊢
	: , : , :
17	instantiation	34, 20, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	34, 22, 29	⊢
	: , : , :
20	instantiation	23, 24, 31	⊢
	: , :
21	instantiation	25, 26	⊢
	: , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
24	instantiation	27, 28, 29	⊢
	: , :
25	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
28	instantiation	30, 31	⊢
	:
29	instantiation	34, 32, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.negation.int_closure
31	instantiation	34, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
36	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos