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	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.number_sets.real_numbers.in_IntervalCO
2	reference	29	⊢
3	instantiation	34, 30, 5	⊢
	: , : , :
4	instantiation	6, 7, 8	⊢
	: , :
5	instantiation	34, 32, 9	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
7	instantiation	10, 29, 11	⊢
	: , :
8	instantiation	12, 29, 13, 14, 15^, 16^	⊢
	: , : , :
9	instantiation	34, 35, 17	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.ordering.relax_equal_to_less_eq
11	instantiation	18	⊢
	:
12	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
14	instantiation	19, 20	⊢
	:
15	instantiation	21, 22, 23	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
18	axiom		⊢
	proveit.logic.equality.equals_reflexivity
19	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
20	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
21	theorem		⊢
	proveit.logic.equality.sub_right_side_into
22	instantiation	24, 26	⊢
	:
23	instantiation	25, 26, 27	⊢
	: , :
24	theorem		⊢
	proveit.numbers.addition.elim_zero_right
25	theorem		⊢
	proveit.numbers.addition.commutation
26	instantiation	34, 28, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	34, 30, 31	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	34, 32, 33	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	34, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements