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Theorem cadtru 1612
Description: The adder carry is true as soon as its first two inputs are the truth constant. (Contributed by Mario Carneiro, 4-Sep-2016.)
Assertion
Ref Expression
cadtru cadd(⊤, ⊤, 𝜑)

Proof of Theorem cadtru
StepHypRef Expression
1 tru 1532 . 2
2 cad11 1611 . 2 ((⊤ ∧ ⊤) → cadd(⊤, ⊤, 𝜑))
31, 1, 2mp2an 688 1 cadd(⊤, ⊤, 𝜑)
Colors of variables: wff setvar class
Syntax hints:  wtru 1529  caddwcad 1598
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 208  df-an 397  df-or 842  df-tru 1531  df-cad 1599
This theorem is referenced by: (None)
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