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icecream17 / metamath-todo.md
Last active June 3, 2024 20:33
metamath todo

Metamath todo

Axioms

  • change df-pnf and df-mnf to use rru
  • Remove ax-icn ax-addcl ax-mulcl ax-i2m1 ax-cnre in 00id by
    • 0cnALT3
    • 00idlem: real hypotheses version of adddir where addcl is circumvented through addrcl and resscn
    • mulcom and ax-1rid in step 18 instead of mulid2i (maybe introduce remulid1i and remulid2i)
  • addition and multiplication with only digits one through nine; see comment at metamath/set.mm#2947
@icecream17
icecream17 / is-ax-mulcom-indep.md
Last active December 25, 2023 22:50
Is ax-mulcom provable from the rest of the axioms?

ax-mulcom

⊢ ((𝐴 ∈ ℂ ∧ 𝐵 ∈ ℂ) → (𝐴 · 𝐵) = (𝐵 · 𝐴))

Proofs that some axioms are needed if mulcom is provable

The non-ax-mulcom complex number axioms are:

ax-resscn    RR C_ CC
@icecream17
icecream17 / Aricmes.sfd
Last active December 18, 2023 17:49
Pre-alpha aricmes font
SplineFontDB: 3.2
FontName: Aricmes
FullName: Aricmes
FamilyName: Aricmes
Weight: Regular
Copyright: Copyright (c) 2021-2023, Steven Nguyen
UComments: "2021-11-21: Created with FontForge (http://fontforge.org)+AAoA-Aricmes! The second font I'm creating, preceded by Semcira.+AAoACgAA-This font will be serif, with a closed 4, and double storied gs and as! But joined w. And descended j.+AAoA-I defined groups based on unicode. So far the first block, Basic Latin, is properly groupified.+AAoACgAA-TODO: i and n have different bearings, why?+AAoACgAA-I think it would be useful to use dotless as a part for i, so I add [C1 Controls and Latin-1 Supplement] and Latin-Extended A into the groups. Note that the groups are based on unicode.+AAoACgAA-I've decided to not add extraneous groups until I finish the first block of characters+AAoACgAi-e+ACIA: Looks amazing but doesn't fit super well, probably because there's less contrast+AAoACgAA-Spacing:+AAoA-Horizontal serif goes from 31 to 44 height, stem is +AH4A 90+AAoA-Space
@icecream17
icecream17 / Makefile
Last active March 4, 2022 16:15 — forked from sighingnow/Makefile
Detect operating system in Makefile.
# Detect operating system in Makefile.
# Author: He Tao
# Date: 2015-05-30
OSFLAG :=
ifeq ($(OS),Windows_NT)
OSFLAG += -D WIN32
ifeq ($(PROCESSOR_ARCHITECTURE),AMD64)
OSFLAG += -D AMD64
endif
@icecream17
icecream17 / primes.csv
Created May 28, 2021 23:48
Primes < 10000
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277 281 283 293 307 311 313 317 331 337 347 349 353 359 367 373 379 383 389 397 401 409 419 421 431 433 439 443 449 457 461 463 467 479 487 491 499 503 509 521 523 541 547 557 563 569 571 577 587 593 599 601 607 613 617 619 631 641 643 647 653 659 661 673 677 683 691 701 709 719 727 733 739 743 751 757 761 769 773 787 797 809 811 821 823 827 829 839 853 857 859 863 877 881 883 887 907 911 919 929 937 941 947 953 967 971 977 983 991 997 1009 1013 1019 1021 1031 1033 1039 1049 1051 1061 1063 1069 1087 1091 1093 1097 1103 1109 1117 1123 1129 1151 1153 1163 1171 1181 1187 1193 1201 1213 1217 1223 1229 1231 1237 1249 1259 1277 1279 1283 1289 1291 1297 1301 1303 1307 1319 1321 1327 1361 1367 1373 1381 1399 1409 1423 1427 1429 1433 1439 1447 1451 1453 1459 1471 1481 1483 1487 1489 1493 1499 1511 1523 1531 1543 1549 1