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^*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.strong_bound_via_right_term_bound
2	reference	18	⊢
3	instantiation	7, 10	⊢
	:
4	reference	9	⊢
5	instantiation	8, 9, 10, 11, 12^*	⊢
	: , :
6	instantiation	13, 14	⊢
	:
7	theorem		⊢
	proveit.numbers.negation.real_closure
8	theorem		⊢
	proveit.numbers.negation.negated_strong_bound
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
10	instantiation	36, 21, 15	⊢
	: , : , :
11	instantiation	16, 20	⊢
	:
12	theorem		⊢
	proveit.numbers.negation.negated_zero
13	theorem		⊢
	proveit.numbers.addition.elim_zero_right
14	instantiation	36, 17, 18	⊢
	: , : , :
15	instantiation	36, 19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.positive_if_in_rational_pos
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	36, 21, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
20	instantiation	23, 24, 25	⊢
	: , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	36, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
24	instantiation	36, 29, 28	⊢
	: , : , :
25	instantiation	36, 29, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	36, 31, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
30	instantiation	33, 34, 35	⊢
	: , :
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	instantiation	36, 37, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
38	assumption		⊢
^*equality replacement requirements