:: REAL semantic presentation
Lemma14:
for x, y being real number st x <= y & y <= x holds
x = y
Lemma40:
for x, y, z being real number st x <= y & y <= z holds
x <= z
theorem Th1: :: REAL:1
theorem Th2: :: REAL:2
theorem Th3: :: REAL:3
theorem Th4: :: REAL:4
theorem Th5: :: REAL:5
theorem Th6: :: REAL:6
theorem Th7: :: REAL:7
theorem Th8: :: REAL:8