:: GRSOLV_1 semantic presentation
:: deftheorem Def1 defines solvable GRSOLV_1:def 1 :
theorem Th1: :: GRSOLV_1:1
theorem :: GRSOLV_1:2
theorem :: GRSOLV_1:3
theorem Th4: :: GRSOLV_1:4
theorem :: GRSOLV_1:5
theorem :: GRSOLV_1:6
theorem :: GRSOLV_1:7
:: deftheorem defines | GRSOLV_1:def 2 :
:: deftheorem defines .: GRSOLV_1:def 3 :
Lm1:
for G, H being strict Group
for g being Homomorphism of G,H
for A being Subgroup of G holds rng (g | A) = g .: the carrier of A
by RELAT_1:148;
theorem :: GRSOLV_1:8
canceled;
theorem Th9: :: GRSOLV_1:9
theorem Th10: :: GRSOLV_1:10
theorem Th11: :: GRSOLV_1:11
theorem Th12: :: GRSOLV_1:12
theorem Th13: :: GRSOLV_1:13
theorem Th14: :: GRSOLV_1:14
theorem Th15: :: GRSOLV_1:15
theorem Th16: :: GRSOLV_1:16
theorem :: GRSOLV_1:17