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Mirrors > Home > MPE Home > Th. List > Mathboxes > ax-ros335 | Structured version Visualization version Unicode version |
Description: Theorem 12. of [RosserSchoenfeld] p. 71. Theorem chpo1ubb 25170 states that the ψ function is bounded by a linear term; this axiom postulates an upper bound for that linear term. This is stated as an axiom until a formal proof can be provided. (Contributed by Thierry Arnoux, 28-Dec-2021.) |
Ref | Expression |
---|---|
ax-ros335 | ψ ____ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vx | . . . . 5 | |
2 | 1 | cv 1482 | . . . 4 |
3 | cchp 24819 | . . . 4 ψ | |
4 | 2, 3 | cfv 5888 | . . 3 ψ |
5 | c1 9937 | . . . . 5 | |
6 | cc0 9936 | . . . . . 6 | |
7 | c3 11071 | . . . . . . 7 | |
8 | c8 11076 | . . . . . . . 8 | |
9 | 8, 7 | cdp2 29577 | . . . . . . . 8 _ |
10 | 8, 9 | cdp2 29577 | . . . . . . 7 __ |
11 | 7, 10 | cdp2 29577 | . . . . . 6 ___ |
12 | 6, 11 | cdp2 29577 | . . . . 5 ____ |
13 | cdp 29595 | . . . . 5 | |
14 | 5, 12, 13 | co 6650 | . . . 4 ____ |
15 | cmul 9941 | . . . 4 | |
16 | 14, 2, 15 | co 6650 | . . 3 ____ |
17 | clt 10074 | . . 3 | |
18 | 4, 16, 17 | wbr 4653 | . 2 ψ ____ |
19 | crp 11832 | . 2 | |
20 | 18, 1, 19 | wral 2912 | 1 ψ ____ |
Colors of variables: wff setvar class |
This axiom is referenced by: hgt750lemc 30725 |
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