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Theorem List for Intuitionistic Logic Explorer - 901-1000   *Has distinct variable group(s)
TypeLabelDescription
Statement

Theorem3anrot 901 Rotation law for triple conjunction. (Contributed by NM, 8-Apr-1994.)

Theorem3orrot 902 Rotation law for triple disjunction. (Contributed by NM, 4-Apr-1995.)

Theorem3ancoma 903 Commutation law for triple conjunction. (Contributed by NM, 21-Apr-1994.)

Theorem3ancomb 904 Commutation law for triple conjunction. (Contributed by NM, 21-Apr-1994.)

Theorem3orcomb 905 Commutation law for triple disjunction. (Contributed by Scott Fenton, 20-Apr-2011.)

Theorem3anrev 906 Reversal law for triple conjunction. (Contributed by NM, 21-Apr-1994.)

Theorem3anan32 907 Convert triple conjunction to conjunction, then commute. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.)

Theorem3anan12 908 Convert triple conjunction to conjunction, then commute. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (Proof shortened by Andrew Salmon, 14-Jun-2011.)

Theoremanandi3 909 Distribution of triple conjunction over conjunction. (Contributed by David A. Wheeler, 4-Nov-2018.)

Theoremanandi3r 910 Distribution of triple conjunction over conjunction. (Contributed by David A. Wheeler, 4-Nov-2018.)

Theorem3ioran 911 Negated triple disjunction as triple conjunction. (Contributed by Scott Fenton, 19-Apr-2011.)

Theorem3simpa 912 Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994.)

Theorem3simpb 913 Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994.)

Theorem3simpc 914 Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994.) (Proof shortened by Andrew Salmon, 13-May-2011.)

Theoremsimp1 915 Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994.)

Theoremsimp2 916 Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994.)

Theoremsimp3 917 Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994.)

Theoremsimpl1 918 Simplification rule. (Contributed by Jeff Hankins, 17-Nov-2009.)

Theoremsimpl2 919 Simplification rule. (Contributed by Jeff Hankins, 17-Nov-2009.)

Theoremsimpl3 920 Simplification rule. (Contributed by Jeff Hankins, 17-Nov-2009.)

Theoremsimpr1 921 Simplification rule. (Contributed by Jeff Hankins, 17-Nov-2009.)

Theoremsimpr2 922 Simplification rule. (Contributed by Jeff Hankins, 17-Nov-2009.)

Theoremsimpr3 923 Simplification rule. (Contributed by Jeff Hankins, 17-Nov-2009.)

Theoremsimp1i 924 Infer a conjunct from a triple conjunction. (Contributed by NM, 19-Apr-2005.)

Theoremsimp2i 925 Infer a conjunct from a triple conjunction. (Contributed by NM, 19-Apr-2005.)

Theoremsimp3i 926 Infer a conjunct from a triple conjunction. (Contributed by NM, 19-Apr-2005.)

Theoremsimp1d 927 Deduce a conjunct from a triple conjunction. (Contributed by NM, 4-Sep-2005.)

Theoremsimp2d 928 Deduce a conjunct from a triple conjunction. (Contributed by NM, 4-Sep-2005.)

Theoremsimp3d 929 Deduce a conjunct from a triple conjunction. (Contributed by NM, 4-Sep-2005.)

Theoremsimp1bi 930 Deduce a conjunct from a triple conjunction. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.)

Theoremsimp2bi 931 Deduce a conjunct from a triple conjunction. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.)

Theoremsimp3bi 932 Deduce a conjunct from a triple conjunction. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.)

Theorem3adant1 933 Deduction adding a conjunct to antecedent. (Contributed by NM, 16-Jul-1995.)

Theorem3adant2 934 Deduction adding a conjunct to antecedent. (Contributed by NM, 16-Jul-1995.)

Theorem3adant3 935 Deduction adding a conjunct to antecedent. (Contributed by NM, 16-Jul-1995.)

Theorem3ad2ant1 936 Deduction adding conjuncts to an antecedent. (Contributed by NM, 21-Apr-2005.)

Theorem3ad2ant2 937 Deduction adding conjuncts to an antecedent. (Contributed by NM, 21-Apr-2005.)

Theorem3ad2ant3 938 Deduction adding conjuncts to an antecedent. (Contributed by NM, 21-Apr-2005.)

Theoremsimp1l 939 Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.)

Theoremsimp1r 940 Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.)

Theoremsimp2l 941 Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.)

Theoremsimp2r 942 Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.)

Theoremsimp3l 943 Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.)

Theoremsimp3r 944 Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.)

Theoremsimp11 945 Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)

Theoremsimp12 946 Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)

Theoremsimp13 947 Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)

Theoremsimp21 948 Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)

Theoremsimp22 949 Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)

Theoremsimp23 950 Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)

Theoremsimp31 951 Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)

Theoremsimp32 952 Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)

Theoremsimp33 953 Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)

Theoremsimpll1 954 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpll2 955 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpll3 956 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimplr1 957 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimplr2 958 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimplr3 959 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimprl1 960 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimprl2 961 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimprl3 962 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimprr1 963 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimprr2 964 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimprr3 965 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl1l 966 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl1r 967 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl2l 968 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl2r 969 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl3l 970 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl3r 971 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpr1l 972 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpr1r 973 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpr2l 974 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpr2r 975 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpr3l 976 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpr3r 977 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp1ll 978 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp1lr 979 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp1rl 980 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp1rr 981 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp2ll 982 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp2lr 983 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp2rl 984 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp2rr 985 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp3ll 986 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp3lr 987 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp3rl 988 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp3rr 989 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl11 990 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl12 991 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl13 992 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl21 993 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl22 994 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl23 995 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl31 996 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl32 997 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpl33 998 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpr11 999 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimpr12 1000 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

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