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.multiplication.elim_one_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	33, 24, 9	⊢
	: , : , :
7	instantiation	10, 11, 12	⊢
	: , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9	instantiation	13, 14, 16, 15	⊢
	: , :
10	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
11	instantiation	33, 24, 16	⊢
	: , : , :
12	instantiation	17, 18	⊢
	:
13	theorem		⊢
	proveit.numbers.division.div_real_closure
14	instantiation	33, 22, 19	⊢
	: , : , :
15	instantiation	20, 21	⊢
	:
16	instantiation	33, 22, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.negation.complex_closure
18	instantiation	33, 24, 25	⊢
	: , : , :
19	instantiation	33, 27, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	33, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	29, 30, 31	⊢
	: , : , :
26	instantiation	33, 34, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	33, 34, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
30	instantiation	36, 37	⊢
	: , :
31	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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
36	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real