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