:: FUNCTOR1 semantic presentation
theorem Th1: :: FUNCTOR1:1
theorem Th2: :: FUNCTOR1:2
theorem Th3: :: FUNCTOR1:3
theorem Th4: :: FUNCTOR1:4
theorem Th5: :: FUNCTOR1:5
theorem Th6: :: FUNCTOR1:6
theorem Th7: :: FUNCTOR1:7
theorem Th8: :: FUNCTOR1:8
theorem Th9: :: FUNCTOR1:9
theorem Th10: :: FUNCTOR1:10
theorem Th11: :: FUNCTOR1:11
theorem Th12: :: FUNCTOR1:12
theorem Th13: :: FUNCTOR1:13
theorem Th14: :: FUNCTOR1:14
theorem Th15: :: FUNCTOR1:15
theorem Th16: :: FUNCTOR1:16
canceled;
theorem Th17: :: FUNCTOR1:17
theorem Th18: :: FUNCTOR1:18
theorem Th19: :: FUNCTOR1:19
theorem Th20: :: FUNCTOR1:20
theorem Th21: :: FUNCTOR1:21
Lemma99:
for I being set
for A, B being ManySortedSet of I st A is_transformable_to B holds
for H being ManySortedFunction of A,B
for H1 being ManySortedFunction of B,A st H is "1-1" & H is "onto" & H1 = H "" holds
( H ** H1 = id B & H1 ** H = id A )
theorem Th22: :: FUNCTOR1:22
theorem Th23: :: FUNCTOR1:23
theorem Th24: :: FUNCTOR1:24