(1) transitive, (2) reflexive
One cannot have a theory (theorem) without proof. Theories are explanations (models with uses such as predicting on outcome of an experiment or event) for scientific laws, which only describe the phenomenon. Proof is anything that backs up a hypothesis. When a significant amount of proof is shown, the hypothesis becomes a theory due to it being accepting by the scientific community.
congruent complements
Proof
There are many ways of interpreting "contradiction" in mathematics. Some meanings are:Contradiction as in proof. You attempt to give the counter-proof of the theorem, but the counter-proof fails to work.Contradiction as in mathematical logic. If biconditional fails, we include the slash through the double arrows pointing left and right at opposite directions.Contradiction as in negation of the clause.
congruent
A+
definition of perpendicular lines
transitive property of congruence
An indirect proof is a proof by contradiction.
A+
The proof of the pudding is in the eating
(1) triangle sum, (2) subtraction
(1) equiangular, (2) division
(1) substitution, (2) subtraction
A proof coin is made from a highly polished planchet (blank) and struck twice to produce a highly detailed relief. Proof coins are not put into general circulation.
PF-65 = Proof-65 a grade that can be given a proof coin.