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	reference	22	⊢
2	instantiation	22, 3	⊢
	: , : , :
3	instantiation	22, 4	⊢
	: , : , :
4	instantiation	22, 5	⊢
	: , : , :
5	instantiation	16, 6, 7	⊢
	: , : , :
6	instantiation	22, 8	⊢
	: , : , :
7	instantiation	9, 10, 11, 12, 25, 13, 14, 15	⊢
	: , : , : , :
8	instantiation	16, 17, 18	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
12	instantiation	19	⊢
	: , : , :
13	instantiation	34, 28, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
15	instantiation	34, 28, 21	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	22, 23	⊢
	: , : , :
18	instantiation	24, 25	⊢
	:
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
20	instantiation	34, 26, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
22	axiom		⊢
	proveit.logic.equality.substitution
23	theorem		⊢
	proveit.numbers.negation.negated_zero
24	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
25	instantiation	34, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	34, 30, 31	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	34, 32, 33	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
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.nat2