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.addition.weak_bound_via_left_term_bound
2	reference	16	⊢
3	reference	15	⊢
4	reference	18	⊢
5	instantiation	8, 36	⊢
	:
6	instantiation	9, 10, 11	⊢
	: , :
7	instantiation	12, 13, 14	⊢
	: , :
8	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
9	theorem		⊢
	proveit.numbers.addition.commutation
10	instantiation	34, 17, 15	⊢
	: , : , :
11	instantiation	34, 17, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
13	instantiation	34, 17, 18	⊢
	: , : , :
14	instantiation	19	⊢
	:
15	instantiation	34, 21, 20	⊢
	: , : , :
16	instantiation	34, 21, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	23, 24, 36	⊢
	: , : , :
19	axiom		⊢
	proveit.logic.equality.equals_reflexivity
20	instantiation	34, 26, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	34, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
24	instantiation	28, 29	⊢
	: , :
25	instantiation	34, 30, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	32, 33	⊢
	:
28	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	theorem		⊢
	proveit.numbers.negation.int_closure
33	instantiation	34, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
36	assumption		⊢
^*equality replacement requirements