Theorem mptru

Description: Eliminate T. as an antecedent. A proposition implied by T. is true. This is modus ponens ax-mp when the minor hypothesis is T. (which holds by tru ). (Contributed by Mario Carneiro, 13-Mar-2014)

	Ref	Expression
Hypothesis	mptru.1	|- ( T. -> ph )
Assertion	mptru	|- ph

Proof

Step	Hyp	Ref	Expression
1		mptru.1	|- ( T. -> ph )
2		tru	|- T.
3	2 1	ax-mp	|- ph