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	26	⊢
2	instantiation	3, 4, 5	⊢
	: , : , :
3	theorem		⊢
	proveit.core_expr_types.tuples.tuple_eq_via_elem_eq
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
5	instantiation	26, 6	⊢
	: , : , :
6	instantiation	26, 7	⊢
	: , : , :
7	instantiation	26, 8	⊢
	: , : , :
8	instantiation	26, 9	⊢
	: , : , :
9	instantiation	20, 10, 11	⊢
	: , : , :
10	instantiation	26, 12	⊢
	: , : , :
11	instantiation	13, 14, 15, 16, 29, 17, 18, 19	⊢
	: , : , : , :
12	instantiation	20, 21, 22	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
16	instantiation	23	⊢
	: , : , :
17	instantiation	38, 32, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
19	instantiation	38, 32, 25	⊢
	: , : , :
20	axiom		⊢
	proveit.logic.equality.equals_transitivity
21	instantiation	26, 27	⊢
	: , : , :
22	instantiation	28, 29	⊢
	:
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
24	instantiation	38, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
26	axiom		⊢
	proveit.logic.equality.substitution
27	theorem		⊢
	proveit.numbers.negation.negated_zero
28	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
29	instantiation	38, 32, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	38, 34, 35	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	38, 36, 37	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	38, 39, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2