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.numerals.decimals.md_nine_add_one
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	37	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	8, 37, 9	⊢
	:
6	instantiation	10, 29, 11, 12, 13, 14^, 15^	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
8	theorem		⊢
	proveit.numbers.numerals.decimals.n_in_digits
9	instantiation	16, 17, 18	⊢
	: , :
10	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
12	instantiation	35, 31, 19	⊢
	: , : , :
13	instantiation	20, 21	⊢
	:
14	instantiation	22, 23	⊢
	:
15	theorem		⊢
	proveit.numbers.numerals.decimals.add_8_1
16	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
17	instantiation	24, 37	⊢
	:
18	instantiation	25, 26	⊢
	:
19	instantiation	35, 33, 27	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat8
22	theorem		⊢
	proveit.numbers.addition.elim_zero_left
23	instantiation	35, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
27	instantiation	35, 36, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	35, 31, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	35, 33, 34	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	35, 36, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements