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 φA
Assertion lem1d φA1A

Proof

Step Hyp Ref Expression
1 ltp1d.1 φA
2 lem1 AA1A
3 1 2 syl φA1A