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	10	⊢
2	instantiation	3, 41, 4, 5, 6	⊢
	: , : , : , : , : , :
3	theorem		⊢
	proveit.core_expr_types.tuples.shift_equivalence
4	instantiation	7, 8, 9	⊢
	:
5	instantiation	10, 11	⊢
	: , :
6	instantiation	12	⊢
	:
7	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
8	instantiation	13, 14, 15	⊢
	: , :
9	instantiation	16, 17	⊢
	: , :
10	theorem		⊢
	proveit.logic.equality.equals_reversal
11	instantiation	18, 35, 34, 19	⊢
	: , : , :
12	axiom		⊢
	proveit.logic.equality.equals_reflexivity
13	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
14	instantiation	42, 20, 24	⊢
	: , : , :
15	instantiation	42, 21, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
17	instantiation	23, 24	⊢
	:
18	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
19	instantiation	25, 26, 27	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
21	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
22	instantiation	28, 31	⊢
	:
23	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
24	instantiation	29, 30, 31	⊢
	: , :
25	theorem		⊢
	proveit.logic.equality.sub_right_side_into
26	instantiation	32, 34	⊢
	:
27	instantiation	33, 34, 35	⊢
	: , :
28	theorem		⊢
	proveit.numbers.negation.int_neg_closure
29	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
32	theorem		⊢
	proveit.numbers.addition.elim_zero_right
33	theorem		⊢
	proveit.numbers.addition.commutation
34	instantiation	42, 36, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	42, 38, 39	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	42, 40, 41	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	42, 43, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1