HOLE Home Higher-Order Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  HOLE Home  >  Th. List  >  ax-simpr Unicode version

Axiom ax-simpr 21
Description: Extract an assumption from the context. (Contributed by Mario Carneiro, 8-Oct-2014.)
Hypotheses
Ref Expression
ax-simpl.1 |- R:*
ax-simpl.2 |- S:*
Assertion
Ref Expression
ax-simpr |- (R, S) |= S

Detailed syntax breakdown of Axiom ax-simpr
StepHypRef Expression
1 tr . . 3 term R
2 ts . . 3 term S
31, 2kct 10 . 2 term (R, S)
43, 2wffMMJ2 11 1 wff (R, S) |= S
Colors of variables: type var term
This axiom is referenced by:  simpr  23
  Copyright terms: Public domain W3C validator