Theorem cadtru 1401

Description: Rotation law for adder carry. (Contributed by Mario Carneiro, 4-Sep-2016.)

Assertion

Ref	Expression
cadtru	⊢ cadd( ⊤ , ⊤ , φ)

Proof of Theorem cadtru

Step	Hyp	Ref	Expression
1		tru 1321	. 2 ⊢ ⊤
2		cad11 1399	. 2 ⊢ (( ⊤ ∧ ⊤ ) → cadd( ⊤ , ⊤ , φ))
3	1, 1, 2	mp2an 653	1 ⊢ cadd( ⊤ , ⊤ , φ)

Syntax hints:   ⊤ wtru 1316  caddwcad 1379

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1319  df-cad 1381

This theorem is referenced by: (None)