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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 5	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	6, 7, 8, 36, 9, 10, 14, 11, 13	⊢
	: , : , : , : , : , :
5	instantiation	12, 13, 14, 15	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.disassociation
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	instantiation	16	⊢
	: , :
11	instantiation	34, 19, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
13	instantiation	34, 19, 18	⊢
	: , : , :
14	instantiation	34, 19, 20	⊢
	: , : , :
15	instantiation	21	⊢
	:
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	instantiation	34, 23, 22	⊢
	: , : , :
18	instantiation	34, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	25, 26, 27	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.equality.equals_reflexivity
22	instantiation	34, 29, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	34, 29, 33	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
26	instantiation	30, 31	⊢
	: , :
27	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
28	instantiation	32, 33	⊢
	:
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
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_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1