lemma
proved
term proof
inBall_mono
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formal statement (Lean)
29lemma inBall_mono {K : Kinematics α} {x y : α} {n m : Nat}
30 (hnm : n ≤ m) : inBall K x n y → inBall K x m y := by
proof body
Term-mode proof.
31 intro ⟨k, hk, hkreach⟩
32 exact ⟨k, le_trans hk hnm, hkreach⟩
33
34end Causality
35end IndisputableMonolith
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
-
inBall_mono
in IndisputableMonolith.Causality.Reach
decl_use
depends on (12)
Lean names referenced from this declaration's body.
-
inBall
in IndisputableMonolith.Causality.Basic
decl_use
-
Kinematics
in IndisputableMonolith.Causality.Basic
decl_use
-
Kinematics
in IndisputableMonolith.Causality.ConeBound
decl_use
-
inBall
in IndisputableMonolith.Causality.Reach
decl_use
-
inBall_mono
in IndisputableMonolith.Causality.Reach
decl_use
-
Kinematics
in IndisputableMonolith.Causality.Reach
decl_use
-
K
in IndisputableMonolith.Constants
decl_use
-
K
in IndisputableMonolith.Constants.LambdaRecDerivation
decl_use
-
le_trans
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
-
inBall
in IndisputableMonolith.LedgerUniqueness
decl_use
-
Kinematics
in IndisputableMonolith.LedgerUniqueness
decl_use
-
Kinematics
in IndisputableMonolith.LightCone.StepBounds
decl_use