ancom-alt

Theorem. Commutativity of conjunction.

Description:

Example illustrating structured proofs and the Deduction Theorem. Compare with ancom.

Arguments:

phi (pr), psi (pr),

Assertions:

((phiwedgepsi)leftrightarrow(psiwedgephi))

Proof:

Hyp Ref Line Expr
Suppose1.1blank(phiwedgepsi)
1.1siman1.2blankphi
1.3blankpsi
1.2, 1.3>andi1.4blank(psiwedgephi)
1.4Therefore1((phiwedgepsi)to(psiwedgephi))
Suppose2.1blank(psiwedgephi)
2.1siman2.2blankpsi
2.3blankphi
2.2, 2.3>andi2.4blank(phiwedgepsi)
2.4Therefore2((psiwedgephi)to(phiwedgepsi))
1, 2>bii3((phiwedgepsi)leftrightarrow(psiwedgephi))