Skip to content

Commit 4977ad5

Browse files
ducourtialAdrian Ducourtial
andauthored
Nested antecedents (#5033)
* Basic clone theory in AD's mathbox * Change label and description of df-superpos * Clarify description of df-suppos * Add display info and distinct variable conditions * Elaborate citations * Adjust rewrapping * Add space * Nested antecedents * Rewrapping --------- Co-authored-by: Adrian Ducourtial <[email protected]>
1 parent e13c374 commit 4977ad5

File tree

1 file changed

+12
-0
lines changed

1 file changed

+12
-0
lines changed

set.mm

Lines changed: 12 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -571203,6 +571203,18 @@ Real and complex numbers (cont.)
571203571203
currybi $p |- ( ( ph <-> ( ph <-> ps ) ) -> ps ) $=
571204571204
( wb biid biass biimpri mpbii ) AABCCZAACZBADIBCHAABEFG $.
571205571205

571206+
$( Suppose ` ph ` , ` ps ` are distinct atomic propositional formulas, and
571207+
let ` _G ` be the smallest class of formulas for which ` T. e. _G ` and
571208+
` ( ch -> ph ) ` , ` ( ch -> ps ) e. _G ` for ` ch e. _G ` . The present
571209+
theorem is then an element of ` _G ` , and the implications occurring in
571210+
the theorem are in one-to-one correspondence with the formulas in ` _G `
571211+
up to logical equivalence. In particular, the theorem itself is
571212+
equivalent to ` T. e. _G ` . (Contributed by Adrian Ducourtial,
571213+
2-Oct-2025.) $)
571214+
antnest $p |- ( ( ( ( ( ( T. -> ph ) -> ps ) -> ps ) -> ph ) -> ps ) -> ps )
571215+
$=
571216+
( wtru wi wn simplim conax1 mtod syl syl11 mptru pm2.65i notnotri ) CADZBDZ
571217+
BDZADZBDZBDZSEZATADOECATNBFTOBRBGZTQEZPTQBUARBFHZPAFIHJKTUBAEUCPAGILM $.
571206571218

571207571219
$(
571208571220
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=

0 commit comments

Comments
 (0)