Metamath Proof Explorer


Theorem lem1d

Description: A number minus 1 is less than or equal to itself. (Contributed by Mario Carneiro, 28-May-2016)

Ref Expression
Hypothesis ltp1d.1 φ A
Assertion lem1d φ A 1 A

Proof

Step Hyp Ref Expression
1 ltp1d.1 φ A
2 lem1 A A 1 A
3 1 2 syl φ A 1 A