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