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, 10	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	11	⊢
	: , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	12, 13, 14	⊢
	: , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
9	instantiation	32, 18, 15	⊢
	: , : , :
10	instantiation	32, 18, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
13	instantiation	32, 18, 17	⊢
	: , : , :
14	instantiation	32, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
16	instantiation	32, 21, 20	⊢
	: , : , :
17	instantiation	32, 21, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	32, 23, 24	⊢
	: , : , :
20	instantiation	32, 26, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	32, 26, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
25	instantiation	27, 28, 29	⊢
	: , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
28	instantiation	32, 30, 31	⊢
	: , : , :
29	instantiation	32, 33, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
34	assumption		⊢